Question

What is the principle of moments? Show that Mechanical Advantage is

the ratio F1/F2= d2/d1, where F1 and F2 are two parallel forces usually

perpendicular to the lever acting at distances d1 and d2 respectively from

the fulcrum.​

Answer 1

Answer:

According to the principle of moments when an object is in equilibrium the sum of the anticlockwise moments about a turning point must be equal to the sum of the clockwise moments. i.e Load × Load Arm = Effort × Effort Arm

Answer 2

The Principle of moments states that when a body is balanced, the total clockwise moment about a point equals the anticlockwise moment about the same point. It is also known as Varignon's Theorem.

Mechanical advantage of a lever is the ratio of the load exerted on the lever and the effort put by the person to overcome some load or resistance.

Mechanical advantage is the ratio of load and effort = F1/ F2

where F1 is the force exerted by load and F2 is the effort.

It is also the ratio of load arm and effort arm = d1/ d2

where d1 is the load arm and d2 is the effort arm.

Since, torque is the cross product of force and arm length.

Since the torque in clockwise direction= torque of anticlockwise direction

F1 d1 = F2 d2

F1/ F2 = d2/ d1