Circular Motion (Edexcel International A Level (IAL) Physics): Exam Questions

Exam code: YPH11

37 mins6 questions
1a
Sme Calculator
2 marks

18th century clocks sometimes used a conical pendulum to measure regular periods of time.

A conical pendulum consists of a bob of mass m fixed to the end of a wire of length l as shown. The bob is set to follow a circular path in the horizontal plane. The wire makes an angle θ with the vertical.

q12-wph14-04-oct-2021-edexcel-int-as-and-a-level-phy

Add to the diagram to show the two forces acting on the bob.

1b
Sme Calculator
7 marks

i) Derive the following equation for the angular velocity ω of the bob.

ω = gl cos θ

(4)

ii) A clock requires the period of the bob to be 5.0 s.  

l = 6.4 m

θ = 13.9°  

Deduce whether this arrangement leads to the required period.

(3)

2a
Sme Calculator
5 marks

A poi ball is a ball attached to a person’s hand by a cord. A child makes the poi ball undergo circular motion in a vertical plane as shown in the photograph.

q15-wph14-04-jan-2022-edexcel-int-as-a-level-phy

The poi ball moves clockwise in a circle of radius r, centre O, with a constant speed v.

The diagram shows two positions, A and B, of the poi ball.

q15a-wph14-04-jan-2022-edexcel-int-as-a-level-phy

Derive the equation for centripetal acceleration  a=v2r by considering the velocity of the poi ball at these two positions.

Your answer should include a vector diagram.

2b
Sme Calculator
3 marks

The poi ball completes 1.3 revolutions per second.

Calculate the acceleration of the poi ball.

radius of circular motion = 0.58 m

Acceleration = ..............................

2c
Sme Calculator
4 marks

The child comments that as the ball goes round the circle with a constant speed, the size of the force on his hand changes.

Discuss whether this comment is correct.

3a
2 marks

A washing machine drum rotates about a horizontal axis. As the drum rotates at high speed, items of clothing move in a vertical circle resting against the inside surface of the drum.

The dot in the diagrams represents an item of clothing as it rotates with the drum.

Two side-by-side empty circles representing the inside of a washing machine drum viewed end-on. In the left circle, a black dot is positioned at the bottom. In the right circle, a black dot is positioned at the top.

Add labelled arrows to each diagram to show the forces acting on the item of clothing at each position.

3b
3 marks

The drum rotates at a constant speed.

Explain how the forces on the item of clothing vary between the bottom and the top of the drum.

3c
Sme Calculator
3 marks

The drum has an internal radius of 0.25 m.

Calculate the minimum speed at which the clothing remains in contact with the drum at the top of the rotation.

1
Sme Calculator
6 marks

The photograph shows a track for a toy car. The car moves down the track towards a circular loop. The loop starts at point A.

q13-wph14-04-june-2021-edexcel-int-as-and-a-level-phy

If the release point of the car is high enough, the car moves fast enough to pass point C and complete the loop, continuing to the end of the track at point D.

If the release point is too low, the car falls off the track between point B and point C.

Deduce whether a car released from a vertical height of 25 cm above point A will complete the loop and reach point D. You should assume that friction is negligible.

vertical height of point C above point A = 22 cm

mass of toy car = 33 g