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Pulleys - class-X

Description: pulleys
Number of Questions: 46
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Tags: common machines a little effort, lot of work work, energy and machines machines simple machine physics simple machines
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In a single movable pulley, if the effort moves by a distance $x$ upwards, by what height is the load raised?

  1. $x/2$

  2. $x$

  3. $4x$

  4. $2x$


Correct Option: A
Explanation:
Load $L$ is attached to the movable pulley. A rope is fi xed at a point in ceiling that passes through the moveable pulley. 
In order to lift the effort $E$ by $ x$ meters, the load $L$ needs to 
Travel the distance of $ x/2$ meters. (The entire rope needs to be pulled by $E$ for a distance of $ x$) 
Now, Velocity Ratio equals (Distance traveled by $E$) divided by (Distance traveled by $L$) 
So it becomes : $ x/( x/2)$. This equals to 2
Since it is a ratio. it has no units of measurement. 

What is the velocity ratio of a single movable pulley?

  1. $1$

  2. $0.5$

  3. $2$

  4. $1.5$


Correct Option: C
Explanation:

Load $L$ is attached to the movable pulley. A rope is fixed at a point in ceiling that passes through the movable pulley.
In order to lift the load $L$ by $X$ meters, the effort $E$ needs to travel the distance of 2X meters. (The entire rope needs to be pulled by $E$ for a distance of 2X.)
Now, Velocity Ratio equals (Distance traveled by $E$) divided by (Distance traveled by $L$)
So it becomes : $2X/X$. This equals to 2
Since it is a ratio. it has no units of measurement.

Example of wheel and axle is :

  1. Egg-beaters

  2. Egg-whiskers

  3. Clocks

  4. Electric saw


Correct Option: B

Which of these is not an example of a fixed pulley?

  1. well

  2. Flagoogle

  3. Crane

  4. None of these


Correct Option: A
Explanation:

Both crane and flagpole comprises of pulley but not well. 

A simple pulley reduces the effort required to lift a heavy load.

  1. True

  2. False


Correct Option: A

A pulley makes our work easier by changing the direction of the force.

  1. True

  2. False


Correct Option: A

Levers, inclined planes and pulleys are called:

  1. Compound machines

  2. Complex machines

  3. Easy machines

  4. Simple machines


Correct Option: D
Explanation:
  1. simple machine is a mechanical device that changes the direction or magnitude of a force. In general, they can be defined as the simplest mechanisms that use mechanical advantage (also called leverage) to multiply force. Levers,inclined planes and pulleys are called simple machines

A single fixed pulley is equivalent to a :

  1. first order lever

  2. second order lever

  3. third order lever

  4. complex machine


Correct Option: A

In a wheel-and-axle :

  1. wheel rotates freely on axle

  2. wheel is fixed to the axle

  3. direction of the force remains same'

  4. mechanical advantage is always more than one


Correct Option: B

In a pulley :

  1. Load and effort are equal

  2. Load is greater than effort

  3. Load is less than effort

  4. Both have no relation


Correct Option: A

In a pulley:

  1. wheel is fixed over the axle

  2. effort is greater than the load

  3. mechanical advantage will be more than one

  4. wheel rotates freely over the axle


Correct Option: D

Wheel-and-axle and rope move in :

  1. Same direction

  2. Opposite direction

  3. Perpendicular direction

  4. There is no relation between the two


Correct Option: A

In a wheel-and-axle :

  1. Wheel rotates freely on axle

  2. Wheel is fixed to the axle

  3. Direction of the lbrce remains same

  4. Mechanical advantage is always more than one


Correct Option: B

The steering wheel is a:

  1. first order lever

  2. complex machine

  3. third order lever

  4. wheel and axle


Correct Option: D

A single fixed pulley is

  1. A machine that only changes the direction of the force applied, not the amount

  2. A machine that only changes the amount of force not direction

  3. Both

  4. None


Correct Option: A
Explanation:

A single fixed pulley is a machine that only changes the direction of the force applied, not the amount.
The wheel of a fixed pulley does not move because the wheel is attached to some support.

A single pulley is a :

  1. First order lever

  2. Second order lever

  3. Third order lever

  4. Complex machine


Correct Option: A

A tap has a :

  1. Pulley

  2. Screw arrangement

  3. Wedge

  4. Wheel-and-axle arrangement


Correct Option: D

A pulley can reduce the effort needed to overcome a particular load 

  1. True

  2. False


Correct Option: A

Single fixed pulley has an mechanical advantage of

  1. 1

  2. 0

  3. 2

  4. 100


Correct Option: A
Explanation:

A sing;e fixed pulley like the one having an ideal mechanical advantage of 1 since the effort force is equal to the load force.

In the wheel and axle arrangement,wheel and axle and the rope move in:

  1. same direction

  2. opposite direction

  3. perpendicular direction

  4. none of the above


Correct Option: B

In a pulley:

  1. Wheel is fixed over the axle

  2. Direction of force will not be changed

  3. Mechanical advantage will be more than one

  4. Wheel rotates freely over the axle


Correct Option: D

______ is used to pull water from a well.

  1. Pulley

  2. Lever

  3. Gears

  4. None of the above


Correct Option: A

Velocity ratio of a single movable pulley is

  1. 1

  2. 0

  3. 2

  4. None


Correct Option: C
Explanation:

$\displaystyle VR=\frac { Distance\quad moved\quad by\quad effort }{ Distance\quad moved\quad by\quad load } $
$\displaystyle MA=\frac { 2Effort }{ Effort } =2$
When effort mved a distance x load moved a distance = x/2
So, 
$\displaystyle VR=\frac { X }{ X12 } =\frac { 2X }{ X } =2$

Single movable pulley acts as a

  1. speed multiplier

  2. force multiplier

  3. velocity multiplier

  4. all


Correct Option: B
Explanation:

Using a single movable pulley, the load can be lifted by applying an effort equal to half the load i.e. single movable pulley acts as a force multiplier.

Which of the following is not fixed to a rigid support?

  1. Single fixed pulley

  2. Single movable pulley

  3. Double fixed pulley

  4. None


Correct Option: B
Explanation:

Single fixed pulley is fixed to a rigid support whereas a single movable pulley is not fixed to a rigid support.

Weight of the pulley ____ the mechanical advantage of single fixed pulley and ____ the mechanical advantage of single movable pulley 

  1. increases, increases

  2. increases, reduces

  3. doesn't affect, reduces

  4. reduces, does not affect


Correct Option: C
Explanation:

Weight of pulley does not affect mechanical advantage of single fixed pulley.

Weight of pulley reduces mechanical advantage of single fixed pulley(because it is not stationary).

In single movable pulley,

  1. Ideal mechanical advantage is 1.

  2. Load moves in the direction of effort

  3. Velocity ratio is 1

  4. All


Correct Option: B
Explanation:

In single movable pulley, ideal mechanical advantage is 2. Its velocity ratio is 2. It is used as a force multiplier. Load moves in the direction of effort.

Pulley whose axis of rotation is not fixed at a position is called

  1. Single fixed pulley

  2. Movable pulley

  3. Both

  4. None


Correct Option: B
Explanation:

A movable pulley is a pulley allowed to have translational motion.

State true or false.
A simple pulley reduces the effort required to lift a heavy load.

  1. True

  2. False


Correct Option: A

Calculate the effort in newtons required to raise 1000 kg anchor on boat with a wheel and axle of radii 50 cm and 10 cm respectively.

  1. 1000

  2. 1500

  3. 2000

  4. 3000


Correct Option: C
Explanation:

The mechanical advantage of a wheel and axle $= \displaystyle \frac{Radius  of  wheel}{Radius  of  the  axle} $      ..........  (1)
But $MA = \displaystyle \frac{load}{effort}$      .............    (2)
From (1) and (2)
$\displaystyle \frac{Radius  of  wheel}{Radius  of  the  axle} = \frac{load}{effort}$
$\displaystyle \frac{50  cm}{10  cm} = \frac{1000 \times  10  N}{effort}$
$Effort = \displaystyle \frac{1000  \times  10  \times 10}{50}$
$ Effort = 2000 N$

Two crowbars of lengths 5 m and 7 m are used to lift a boulder, using a small stone, as a fulcrum. Does it affect the effort required to lift the load?

  1. Yes

  2. No

  3. Maybe

  4. Sometimes


Correct Option: A
Explanation:

Yes it effects the effort required to lift the load as a crow bar of 7 m length provides greater effort arm than a crow bar of 5 m length. Thus crow bar of 7 m length requires lesser effort.

A block of mass M on a horizontal smooth surface is pulled by a load of mass  M / 2  by means of a rope  AB and string BC as shown in the figure .The length and mass of the rope AB are L and  M / 2 respectively .As the block is pulled from A = L to AB = 0 its acceleration changes from 

  1. $\frac{3g}{4}$ to g

  2. $\frac{g}{4} to\frac {g}{2}$

  3. $\frac{g}{4} to {g}$

  4. $\frac{3g}{2}$ to 2g


Correct Option: A

What is the ideal mechanical advantage of a single fixed pulley? Can it be used as a force multiplier?

  1. $1.5$, yes

  2. $1.5$, No

  3. $1$, yes

  4. $1$, No


Correct Option: D
Explanation:

A single fixed pulley has an ideal mechanical advantage of 1 since the effort force is equal to the load force.
No, it cannot be used as a force multiplier, instead, it is used to change the direction of force applied.

$1000$ N force is required to lift a hook and $10000$ N force is requires to lift a load slowly. Find power required to lift hook with load with speed $v = 0.5 m/sec$

  1. $5kw$

  2. $5.5kw$

  3. $1.5kw$

  4. $4.5kw$


Correct Option: B
Explanation:

$P=F.V=(1000+1000)0.5$
$=\dfrac{11000}{2}=5500=5.5kw$

The machine used to separate the massive particles and light particles from a mixture is

  1. At wood machine

  2. Centrifugation

  3. Filter paper

  4. Separating funnel


Correct Option: B
Explanation:

Centrifugation is the process of separating suspended particles from a liquid by rotating the liquid at a high speed. The mixture is taken in a closed bottle and rotated at a high speed. The heavy particles settle at the bottom while light particles remain behind. This method is used to separate cream from milk

By using a wheel-and-axle arrangement,you can:

  1. magnify the speed

  2. magnify force

  3. effort can be moved through a greater distance by attaching a handle

  4. all of the above


Correct Option: D

A pulley system has a velocity ratio $3$ and an efficiency of $80\%$. Calculate the effort required to raise a load of $300N$.

  1. $125 N$

  2. $300 N$

  3. $150 N$

  4. $225 N$


Correct Option: A
Explanation:
$Velocity\ Ratio = 3$

$Efficiency = 80/100$

$Mechanical \ Advantage = efficiency \times Velocity\  ratio$

$\Rightarrow \dfrac{80}{100} \times 3 $

$\Rightarrow 2.4$


$M.A = \dfrac{load}{effort}$

$2.4 = \dfrac{300 N}{Effort}$

$\Rightarrow Effort = \dfrac{300 N}{2.4} = 125N$

In a single fixed pulley, if the effort moves by a distance $x$ downwards, by what height is the load raised upwards?

  1. $2x$

  2. $x$

  3. $x/2$

  4. $x/g$


Correct Option: B
Explanation:

We know that for a single fixed pulley, Distance moved by effort is equal to the distance moved by load.
$ Distance\; moved \;by\; effort = x$
$\therefore Distance \;moved \;by \;load = x$

A car steering is an example of :

  1. first order lever

  2. second order lever

  3. complex machine

  4. wheel-and-axle


Correct Option: D

A pulley system has a velocity ratio $3$ and an efficiency of $80\%$. Calculate the mechanical advantage of the system.

  1. $2.0$

  2. $3.0$

  3. $2.4$

  4. $1.4$


Correct Option: C
Explanation:

$Velocity\ Ratio = 3$


$Efficiency = 80/100$

$Mechanical \ Advantage = efficiency \times Velocity\  ratio$

$\Rightarrow \dfrac{80}{100} \times 3 $

$\Rightarrow 2.4$

In a fixed pulley 

  1. load and effort are equal

  2. load is greater than effort

  3. load is less than effort

  4. both have no relation


Correct Option: A

A block and tackle system has the velocity ratio $3$. A man can exert a pull of $200kgf$. What is the maximum load he can raise with this pulley system if its efficiency is $60\%$

  1. $250 kgf$

  2. $260 kgf$

  3. $350 kgf$

  4. $360 kgf$


Correct Option: D
Explanation:

$Mechanical advantage = Velocity Ratio \times Efficiency $
$M.A = 3 \times \dfrac{60}{100} = 1.8$
$M.A = \dfrac{load}{effort} $
$\therefore load = M.A \times effort$
$\Rightarrow 1.8 \times 200 = 360kgf$

It is easy to draw water from a well when the rope passes over a pulley than drawing it directly. Because:

  1. pulley adds more force

  2. pulley decreases the weight of the bucket

  3. pulley has a mechanical advantage of more than one

  4. pulley changes the direction of force


Correct Option: D

A force of $250 N$ is required to lift a $75 kg$ mass through a pulley system. In order to lift the mass through $3 m$, the rope has to be pulled through $12m$. The percent efficiency of system is

  1. $50$

  2. $75$

  3. $33$

  4. $90$


Correct Option: B
Explanation:
Height lift was $h=3m$
Work done by the force is $W=Fd=250\times 12=3000Joule$

Work against the gravity i.e. $increase $ in potential energy of the  mass is $E=mgh=75\times 10\times 3=2250Joule $

so efficiency will be $\eta \times 100=\dfrac{E}{W}\times 100$% = $75$%

By using a wheel-and-axle arrangement,you can :

  1. Magnify the speed

  2. Magnify movement

  3. Effort can be moved through a greater distance by attaching a handle

  4. All of the above


Correct Option: D

It is easy to draw water from a well when the rope passes over a pulley than drawing it directly. Because :

  1. Pulley adds more force

  2. Pulley decreases the weight of the bucket

  3. Pulley has a mechanical advantage of more than one

  4. Pulley changes the direction of force


Correct Option: D
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