Question

In a gearbox, two external shafts carry torques as shown. To maintain equilibrium, bolts are used. What can be said about the vertical components of the forces exerted by the bolts?

A) The vertical forces are equal to the torques.
B) The vertical forces depend on the rotational speeds of the shafts.
C) The vertical forces are zero because the torques are balanced.
D) The vertical forces are double the torques.

Answer 1

The vertical components of the forces exerted by the bolts are zero because the torques are balanced.Therefore, the vertical components of the forces exerted by the bolts are also zero.

Step-by-step explanation:

In a gearbox, the vertical components of the forces exerted by the bolts are zero because the torques are balanced (C).

According to the principle of equilibrium, when an object is in a state of rotational equilibrium, the sum of the torques acting on it is zero.

In this case, the torques exerted by the external shafts cancel out each other, resulting in a net torque of zero.

Therefore, the vertical components of the forces exerted by the bolts are also zero.