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Circular Motion - Multiple choice

Q1. A young child of mass 20 kg stands at the centre of a uniform horizontal platform which rotates at a constant angular speed of 3.0 rad s–1.

The child begins to walk radially outwards towards the edge of the platform. The maximum frictional force between the child and the platform is 200 N. What is the maximum distance from the centre of the platform to which the child could walk without the risk of slipping?

 

A
1.1 m
B
1.3 m
C
1.5 m
D
1.7 m

 

 

Q2. A model car moves in a circular path of radius 0.8 m at an angular speed of /2 rad s–1.

What is its displacement from point P, 6.0 s after passing P?

A
zero
B
1.6 m
C
0.4 m
D
1.6 m

 

Q3, What is the value of the angular velocity of a point on the surface of the Earth?

 

A 1.2 × 10–5 rad s–1
B 7.3 × 10–5 rad s–1
C 2.6 × 10–1 rad s–1
D 4.6 × 102 rad s–1

 

 

Q4. A mass on the end of a string is whirled round in a horizontal circle at increasing speed until the string breaks. The subsequent path taken by the mass is:

A a straight line along a radius of the circle.
B a horizontal circle.
C a parabola in a horizontal plane.
D a parabola in a vertical plane.

 

Q5. A particle of mass m moves in a circle of radius r at uniform speed, taking time T for each revolution. What is the kinetic energy of the particle?

A
B
C
D

 

Q6. The diagram shows a disc of diameter 120 mm that can turn about an axis through its centre.

The disc is turned through an angle of 30° in 20 ms.

What is the average speed of a point on the edge of the disc during this time?

 

A
0.5 π ms-1
B
ms-1
C
1.5 ms-1
D
2 ms-1

 

Q7. For a particle moving in a circle with uniform speed, which one of the following statements is correct?

A

The kinetic energy of the particle is constant.
B

The force on the particle is in the same direction as the direction of motion of the particle.
C

The momentum of the particle is constant.
D

The displacement of the particle is in the direction of the force.

 

Q8. A particle travels at a constant speed around a circle of radius r with centripetal acceleration a.

What is the time taken for ten complete rotations?

A
B
C
D

 

Q9. The wheel of the London Eye has a diameter of 130 m and can rotate at a steady speed, completing one rotation every 30 minutes.

What is the centripetal acceleration of a person in a capsule at the rim?

A 1.2 × 10–4 m s–2
B 2.5 × 10–4 m s–2
C 3.9 × 10–4 m s–2
D 7.9 × 10–4 m s–2

 

Q10. A small mass is placed at P on a horizontal disc which has centre O. The disc rotates anti-clockwise about a vertical axis through O with constant angular speed.

Which one of the following describes the force which keeps the mass at rest relative to the disc?

A the weight of the mass
B a frictional force directed away from O
C a frictional force directed towards O
D a frictional force directed from P to Q