Physics C T2 U8

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A meterstick of negligible mass is placed on a fulcrum at the 0.4 m mark, with a 1 kg mass hung at the zero mark and a 0.5 kg mass hung at the 1.0 m mark.

The meterstick is held horizontal and released. Immediately after release, the magnitude of the net torque on the meterstick about the fulcrum is most nearly

• 7.5 N•m

• 2.5 N•m

• 1 N•m

• 2 N•m

• 7 N•m

A uniform ladder of weight W leans without slipping against a wall making an angle 𝜽 with a floor as shown above. There is friction between the ladder and the floor, but the friction

between the ladder and the wall is negligible.

The magnitude of the friction force exerted on the ladder by the floor is

A wheel of radius R is fixed to an axle of radius R/3 and rotates at constant angular speed ω , as shown in the figure above. A force of magnitude F 1

is applied tangent

to the outer edge of the wheel. A second force of magnitude F 2

is applied tangent to the edge of the axle to keep the wheel rotating at constant angular speed ω. The

magnitude F is equal to

• F₁

• 3F₁

• F₁/9

• F₁/3

• 9F₁

A wheel of 0.5 m radius rolls without slipping on a horizontal surface. The axle of the wheel advances at constant velocity, moving a distance

of 20 m in 5 s. The angular speed of the wheel about its point of contact on the surface is

• 2 radians • s^-1

• 4 radians • s^-1

• 8 radians • s^-1

• 16 radians • s^-1

• 32 radians • s^-1

The bar shown above is pivoted about one end and is initially at rest in a vertical position. The bar is displaced slightly and as it falls it makes an angle 𝜽 with the vertical at any given

time, as shown above.

Which of the following graphs best represents the bar’s angular velocity ω as a function of time?

• 
• 
• 
• 
• 

A turntable that is initially at rest is set in motion with a constant angular acceleration α. What is the angular velocity of the turntable after it has made one complete revolution?

A wheel with rotational inertia 0.04 kg•m² and radius 0.02 m is turning at the rate of 10 revolutions per second when a frictional torque is applied to stop it.

How much work is done by the torque in stopping the wheel?

Two blocks joined by a light string that passes over the pulley shown above, which has radius R and moment of inertia I about its center. T₁ and T₂ are the tensions in the string on either side of the pulley and α is the angular acceleration of the pulley. Which of the following equation best describes the pulley's rotational motion during the time the blocks accelerate?

A wheel of mass M and radius R rolls on a level surface without slipping. If the angular velocity of the wheel is 𝜔 , what is its linear momentum?

• zero