CAIE A Level Mathematics 9709
Forces and equilibrium questions
Exam-style questions on Forces and equilibrium, ordered from foundation to challenge. Pick one, write your answer the way you would in the exam, and it comes back marked against the mark scheme, point by point.
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Written by Markquill to follow the Cambridge International syllabus. Markquill is independent and is not affiliated with or endorsed by Cambridge International.
- 2 marksFoundationA force of magnitude 10 N acts at an angle θ to the horizontal such that sinθ = 3/5 and cosθ = 4/5. Find the horizontal component of the force.
- 2 marksFoundationTwo forces, 9 N and 12 N, act on a particle at right angles to each other. Find the magnitude of the resultant force.
- 2 marksFoundationTwo forces, 8 N and 6 N, act on a particle at right angles. Find the magnitude of the resultant force.
- 3 marksStandardA particle is in equilibrium under three horizontal forces. Two of the forces are 1\ N to the right and 7\ N to the left. Find the magnitude of the third force.
- 2 marksStandardA particle of mass 3 kg lies on a rough horizontal plane. The coefficient of friction between the particle and the plane is 0.3. The particle is on the point of moving when a horizontal force is applied. Find the…
- 3 marksStandardA block of mass 8 kg rests on a rough horizontal surface. A horizontal force of magnitude 12 N is applied to the block, which is on the point of slipping. Find the coefficient of friction between the block and the…
- 4 marksChallengeA block is held in equilibrium on a rough inclined plane. The plane is inclined at an angle θ to the horizontal, where tanθ = ( 7 )/( 10 ). The block is on the point of slipping down the plane. Find the coefficient of…
- 4 marksChallengeA particle of weight 20 N is suspended by a light inextensible string attached to a fixed point. The particle is held in equilibrium by a horizontal force. The string makes an angle θ with the vertical where sinθ = 3/5…