# IIT JEE/IIT JEE Circular Motion Centre Of Mass Sample Test,Sample questions

1.g

2.2g

3.3g

4.6g

## Question: ```A body is rolling without slipping on a horizontal plane. The rotational energy of the body is 40% of the total kinetic energy. Identify the body. ```

1.Ring

2.Hollow cylinder

3.Solid cylinder

4.Hollow sphere

1.ring

2.solid sphere

3.solid disc

4.cylinder

## Question: ```A car moving on a horizontal road may be thrown out of the road in taking a turn: ```

1.by a gravitational force

2.due to lack of proper centripetal force

3.due to the rolling frictional force between the tyre and road

4.due to the reaction of the ground

## Question: ```A car of 1400 kg is moving on a circular path of radius 30 m with a speed of 40 km/h. When the driver applies the brakes and the car continues to move along the circular path, what is the maximum deceleration possible if the tyres are limited to a total horizontal friction of 10.6 kN? ```

1.10 m/second square

2.6.36 m/second square

3.4 m/second square

4.none of these

## Question: ```A car travels with a uniform velocity in north direction. It goes over a piece of mud which sticks to the tyre, the particles of the mud, as it leaves the ground are thrown: ```

1. vertically downward

2.vertically upward

3. horizontally to north

4.horizontally to south

1.3.14 N

2.1 / 3.14 N

3.1 / 314 N

4.none of these

1.3.14 N

2.0.314 N

3.314 N

4.none of these

1.2.5

2.5

3.1

4.6.756

1.1 cm

2.2 cm

3.3 cm

4.4cm

1.1 cm

2.2 cm

3.4 cm

4.8 ccm

1.1 cm

2.2 cm

3.4 cm

4.8 ccm

## Question: ```A curved section of a rod is banked for a speed v. If there is no friction between road and tyres of the car, than: ```

1.car is more likely to slip at speeds higher than v than speeds lower than v

2.car cannot remain in static equilibrium on the curved section

3.car will not slip when moving with speed v

4.none of the above

## Question: ```A disc-like reel with massless thread unrolls itself while falling vertically downwards The acceleration of its fall is ```

1.zero

2.goes on increasing

3.2/3 g

4.g/2

1.10 m/s

2.7 m/s

3.12 m/s

4.none of these

## Question: ```A mass m is moving with a constant velocity parallel to the x -axis. Its angular momentum w. r. t. the origin ```

1.remains constant

2.goes on increasing

3.goes on decreasing

4.is zero

## Question: ```A motor cyclist rides around the well with a round vertical wall and does not fall down while riding because: ```

1.the force of gravity disappears

2.he loses weight some how

3.he is kept in this path due to the force exerted by surrounding air

4.the frictional force of the wall balances his weight

1.19.6 m/s

2.40 m/s

3.22 m/s

4.none of these

1.bg

2.b/g

3.gb+5

4.5g / 11b

## Question: ```A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that: ```

1.its velocity is constant

2.its acceleration is constant

3.its kinetic energy is constant

4.it does not move on a circular path

## Question: ```A particle is projected so as to just move along a vertical circle. The ratio of the tensions in the string when the particle is at the lowest and highest point on the circle is ```

1.1

2.finite but large

3.zero

4.infinite

1.10 m/s

2.9.8 m/s

3.7.7 m/s

4.7.07 m/s

1.L / 2

2.L / 4

3.L / 6

4.L / 8

1.2.55 m

2.2 m

3.10 m

4.none of these

## Question: ```A rigid spherical body is spinning around an axis without any external torque Due to change in temperature, the volume increases by 1% The angular speed will approximately ```

1.increase by 1%

2.decrease by 1%

3.decrease by 0.67%

4.decrease by 0.33%

1.3/2 R

2.2/3 R

3.1/2 R

4.1/3 R

1.2:03

2.2:05

3.2:07

4.2:09

1.10N

2.20N

3.7.2 N

4.none of these

## Question: ```A stone of mass 1 kg is tied at one end of string of length 1m It is whirled in a vertical circle at constant speed of 4 m/s The tension in the string is 6N when the stone is at: (g = 10 m/second square) ```

1.top of the circle

2.bottom of the circle

3.half way down

4.none of these

1.Zero

2.1N

3.v10N

4.10N

## Question: ```A stone of mass m tied to a string of length l is rotated in a circle with the other end of the string as the centre. The speed of the stone is v. If the string breaks, the stone will: ```

1.move towards the centre

2.move away from the centre

3.move along a tangent

4.stop

1.2%

2.2.50%

3.1.50%

4.3%

1.50%

2.125%

3.200%

4.100%

1.24 hours

2.12 hours

3.6 hours

4.3 hours

## Question: ```In circular motion: ```

3.body is in equilibrium

4.all of the above

## Question: ```Let ? denote the angular displacement of a simple pendulum oscillating in a vertical plane If the mass of the bob is m, the tension in the string is mg cos ?: ```

1.always

2.never

3.at the extreme positions

4.at the mean position

## Question: ```Mark correct option or options from the following ```

1.In the case of circular motion of a particle, centripetal force may be balanced by centrifugal force

2.In the non-inertial reference frame centrifugal force is real force

3.In the inertial reference frame, centrifugal force is real force

4.Centrifugal force is always pseudo force

1.2 cm

2.4 cm

3.8 cm

4.12 cm

1.1 unit

2.1 / 2 unit

3.3/ 2 unit

4.4 unit

1.1:01

2.1:02

3.2:01

4.1:04

1.8 m/s

2.10 m/s

3.20 m/s

4.none of these

1.21

2.41

3.61

4.81

## Question: ```The speed of a particle moving in a circle is increasing. The dot product of its acceleration and velocity is: ```

1.negative

2.zero

3.positive

4.may be +ve or ?ve

1.mg

2.2 mg

3.3 mg

4.4 mg

1.mg

2.2mg

3.3mg

4.4mg

1.1:01

2.1:04

3.1:16

4.1:32

1.1

2.2

3.4

4.8

## Question: ```When a body moves with constant speed in a circular path, then: ```

1.work done will be zero

2.acceleration will be zero

3.no force acts on a body

4.its velocity remains constant

## Question: `When a simple pendulum is rotated in a vertical plane with constant angular velocity, centripetal force is:`

1.maximum at highest point

2.maximum at lowest point

3.same at all points

4.zero

1.1:07

2.1:02

3.1:01

4.5:07

## Question: ```Which of the following is conserved when the torque acting on a system is zero ? ```

1.K.E.

2.Angular momentum

3.Angular K.E

4.Linear momentum

## Question: ```Which of the following statements about the centripetal and centrifugal forces is correct? ```

1.Centripetal force balances the centrifugal force

2.Both centripetal force and centrifugal force act on the same body

3.Centripetal force is directed opposite to the centrifugal force

4.Centripetal force is experienced by the observer at the centre of the circular path described by the bod

## Question: ```Which of the following statements is false for a particle moving in a circle with a constant angular speed? ```

1.The velocity vector is tangent to the circle

2.The acceleration vector is tangent to the circle

3.The acceleration vector points to the centre of the circle

4.The velocity and acceleration vectors are perpendicular to each other

## More MCQS

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