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Solved problems for the chapter:

Conditions for Equilibrium

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Torque

1. Calculation of torque

1.1. Calculation of torque using the component of force perpendicular to the distance

1.2. Calculation of torque using the component of the distance perpendicular to the force

2. Addition and subtraction of torques

3. Equilibrium and moment of forces

4. Spiral spring torque

5. Centre of gravity

5.1. Calculation of torque using the centre of gravity of a body

5.2. Centre of gravity of a system of point bodies

6. Forum

↓ Show theory [1] ↓

Detailed solution steps are available at:

https://en.openprof.com/wb/chapter:conditions_for_equilibrium/3515/

Example 1.

The figure below shows two identical bars of negligible weights with the forces acting on them. Which bars are in equilibrium?

Bar X only
Bar Y only
Bars X and Y
None of the two bars

Example 2.

Forces are applied to four identical objects. The length of each arrow indicates the magnitude of the force. Which object is in equilibrium?

The diagrams show the forces acting on four moving objects. Which object is moving at a constant speed?

The diagrams show four identical objects. Each object is acted on by only the forces shown. Which diagram shows an object in equilibrium?

The diagrams represent the only two forces acting on an object. Which object could be moving to the right at constant speed?

The diagram shows two identical bars of negligible weight. All the forces acting on each bar are marked.

Which bars are in equilibrium?

bar 1 and bar 2
bar 1 only
bar 2 only
neither bar 1 nor bar 2

The diagrams show a block of wood on a frictionless surface. In each diagram, the block has two forces acting on its sides.

Which diagrams show the block in equilibrium?

E, G and H only
E and F only
G and H only
E, F, G and H

Which object is in equilibrium?

Four objects each have two forces acting on them. Which object is in equilibrium?

10.

Each diagram shows a metal plate with four parallel forces acting on it. These are the only forces acting on the plates. In which diagram is the plate in equilibrium?

11.

Each diagram shows all the forces acting on an object. In which diagram is the object in equilibrium?

12.

Four objects are each acted on by only two forces, as shown. Which object is in equilibrium?

13.

The diagrams show different objects, each being acted upon by only the two forces shown. Which object is in equilibrium?