3. Mechanics

Forces And Equilibrium — Quiz

Test your understanding of forces and equilibrium with 5 practice questions.

Practice Questions

Question 1

A uniform rod of mass $M$ and length $L$ is pivoted at one end. A force $F$ is applied perpendicularly at the other end. To maintain rotational equilibrium, what is the magnitude of the reaction force at the pivot?

Question 2

A particle is in equilibrium under the action of three coplanar forces. If the forces are $F_1 = 10 \text{ N}$ acting horizontally, $F_2 = 24 \text{ N}$ acting vertically, and $F_3$ is the third force, what is the magnitude of $F_3$?

Question 3

A block of mass $m$ is on a rough inclined plane, making an angle $\theta$ with the horizontal. If the block is on the verge of sliding down the plane, which of the following expressions represents the static friction force?

Question 4

A uniform ladder of length $L$ and weight $W$ rests against a smooth vertical wall and on a rough horizontal floor. The ladder makes an angle $\theta$ with the floor. Which force prevents the ladder from sliding away from the wall at its base?

Question 5

A system of two connected blocks, $m_1$ and $m_2$, is in equilibrium on a frictionless pulley. If $m_1$ is on a horizontal surface and $m_2$ is hanging vertically, what is the relationship between the masses?