Topic 6 - Advanced Mechanics

A large roundabout makes 8 revolutions in 1 minute. The angular velocity of the roundabout is:

• 0.10 rads^-1

• 0.42 rads^-1

• 0.84 rads^-1

• 0.94 rads^-1

A particle moving in a circular path completes 8.0 revolutions in 5.0 s. Its angular velocity in rads^-1 is:

• 1.6

• 10

• 40

• 250

The drum of a washing machine rotates with angular velocity of 8.5 rads^-1. The time to complete 10 revolutions is:

• 0.85 s

• 1.3 s

• 3.7 s

• 7.4 s

A particle completes 6.0 revolutions in 4.0 s. The angular velocity in rads^-1 is:

• 1.5

• 9.4

• 24

• 150

A cyclist travels along a straight horizontal road at a steady speed. A net force of 20 N is applied for 6 s. The change in momentum of the cyclist is:

• 3.3 kgms^-1

• 26 kgms^-1

• 120 kgms^-1

• 720 kgms^-1

A racing car of mass 1200 kg travels at 0.63 rad s⁻¹ around a bend of radius 50 m. The force on the car necessary for this motion is:

• 2.4 × 10⁴ N away from the centre of the circle.

• 2.4 × 10⁴ N towards the centre of the circle.

• 3.8 × 10⁴ N away from the centre of the circle.

• 3.8 × 10⁴ N towards the centre of the circle.

A particle, mass 0.020 kg, is moving with an angular velocity of 3π rad s⁻¹ around a circle of radius 0.50 m. The force, in N, responsible for this motion is:

• 0.03π towards the centre of the circle.

• 0.03π away from the centre of the circle.

• 0.09π² towards the centre of the circle.

• 0.09π² away from the centre of the circle.

A body is falling freely under gravity. The rate at which the body's momentum is changing is equal to its:

• acceleration

• kinetic energy

• potential energy

• weight

The diagram shows the pendulum swinging through the arc of a circle. At the bottom of its swing the tension in the string is T and the velocity of the bob is v. Which of the following is correct for the bob at the bottom of the swing?

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A body, initially at rest, explodes into two masses M₁ and M₂. These masses move apart with speeds v₁ and v₂ respectively.

The ratio v₁/v₂ is equal to:

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