Question

If two forces of equal magnitude act on an object that is hinged at a pivot, the force acting farther from the pivot must produce the greater torque about the pivot. If two forces of equal magnitude act on an object that is hinged at a pivot, the force acting farther from the pivot must produce the greater torque about the pivot. unable to decide without knowing the shape of the object false true Request Answer

Answer 1

"False" because shape of the object has no effect on the torque produced.

Step-by-step explanation:

Given;

two forces of equal magnitude

one of the forces act farther from the pivot

Torque is given as the product of magnitude of force acting on an object and the perpendicular distance through which the force act. Torque creates twisting effect which cause rotational motion.

τ = Fr

where;

τ is the torque about the pivot

F is magnitude of the force

r is the pivot arm or perpendicular distance through which the force act

Based on torque formula above, it can be seen that torque depends only on the magnitude of force and perpendicular distance.

Therefore, the force acting farther from the pivot must produce the greater torque about the pivot.

Correct answer is "False" because shape of the object has no effect on the torque produced.

Answer 2

The statement is false

Step-by-step explanation:

To explain this, in addition to distance from the pivot, we must consider the angle at which the force is acting. Now, only the components perpendicular to the line from the point of action to the pivot matter.

For example, let's say we have a vertical pole hinged at the base and there is an 8N force halfway up and perpendicular to the pole.

It will create a torque of 8N*L/2 which can be simllified to 4N*L

Also, there is an 8N force at the top acting at 15º from the pole.

It creates a torque of 8N*sin15º*L = 2.07N*L

From the two values, we can see that the force at the greater distance does not necessarily produce the greatest torque.

Thus, the statement is false