
This free-body diagram shows three forces that act on a stone hanging at rest from two strings.

Draw a vector diagram of the forces on the stone. This should be a triangle of forces.


Important Questions on Forces: Vectors and Moments
This free-body diagram shows three forces that act on a stone hanging at rest from two strings.
Use your diagram in part to calculate the weight of the stone.

The force shown here has a moment of about the pivot. Calculate the magnitude of the force .

The asymmetric bar shown has a weight of and a centre of gravity that is from the wider end, on which there is a load of . It is pivoted a distance of from its centre of gravity. Calculate the force $P$ that is needed at the far end of the bar in order to maintain equilibrium.

State what is meant by a couple

State what is meant by torque.

The engine of a car produces a torque of on the axle of the wheel in contact with the road. The car travels at a constant velocity towards the right:
Copy the diagram of the wheel and show the direction of rotation of the wheel, and the horizontal component of the force that the road exerts on the wheel.

The engine of a car produces a torque of on the axle of the wheel in contact with the road. The car travels at a constant velocity towards the right:
State the resultant torque on the wheel. Explain your answer.

(b) The engine of a car produces a torque of on the axle of the wheel in contact with the road. The car travels at a constant velocity towards the right:
(iii) The diameter of the car wheel is . Determine the value of the horizontal component of the force of the road on the wheel.
