Torque Quiz 1

Question 1

The vector quantity whose dimensional formula is the same as that of energy is

Accepted Answer

moment of force

Answer

momentum

Answer

moment of inertia

Answer

none of these

Question 2

Consider a caster which is rotating at $$30	ext{ rpm}$$. The speed of it is increased to $$60	ext{ rpm}$$ within $$1$$ minute. If the torque provided is measured to be $$0.0628	ext{ Nm}$$, determine the moment of inertia of the caster.

Accepted Answer

$$0.02	ext{ kg }{{	ext{m}}^{2}}$$

Answer

$$0.01	ext{ kg }{{	ext{m}}^{2}}$$

Answer

$$0.03	ext{ kg }{{	ext{m}}^{2}}$$

Answer

$$0.04	ext{ kg }{{	ext{m}}^{2}}$$

Question 3

A door of width $$0.9	ext{ m}$$ may be just opened by applying a minimum force of $$9	ext{ N}$$ at the free edge of the door in a perpendicular direction to the plane of the door. What minimum force is required to open the door if the force is applied at a distance $$0.09	ext{ m}$$ from the line of the hinges?

Accepted Answer

$$90	ext{ N}$$

Answer

$$9	ext{ N}$$

Answer

$$99	ext{ N}$$

Answer

$$0.9	ext{ N}$$

Question 4

A heavy uniform plank of length $$12	ext{ m}$$ is supported symmetrically on two supports separated by $$6	ext{ m}$$. The plank has a weight of $$30	ext{ kg}$$. A man weighing $$	ext{60 kg}$$ starts walking over it slowly towards one end. How far from the nearer support can he go safely without toppling the plank?

Accepted Answer

$$	ext{1}	ext{.5 m}$$

Answer

$$	ext{6 m}$$

Answer

$$3	ext{ m}$$

Answer

$$	ext{3}	ext{.5 m}$$

Question 5

A man and a boy carry a heavy weight by suspending it from a light pole of length $$	ext{6 m}$$. The ends of the pole rest on their shoulders and the pole is horizontal. At what distance from the boy should the weight be suspended so that the boy supports only half the weight supported by the man?

Accepted Answer

$$4	ext{ m}$$

Answer

$$3	ext{ m}$$

Answer

$$\dfrac{1}{3}	ext{ m}$$

Answer

$$\dfrac{2}{3}	ext{ m}$$