GCE Advanced Level (Sri Lanka) · Combined Mathematics

Applied Maths: Forces, Friction and Equilibrium

48 practice questions, each with the answer and an explanation.

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A particle of weight $240 N$ is held in equilibrium by two light strings making equal angles $α$ with the horizontal, where $sin α = \frac{4}{5}$ . Find the tension in each string.
A block of mass $2 kg$ is pulled along a rough horizontal surface by a horizontal force of $12 N$ . The coefficient of friction is $\frac{2}{5}$ . Find the acceleration. (Take…
A particle slides down a smooth plane inclined at an angle $θ$ to the horizontal where $sin θ = \frac{3}{5}$ . Find its acceleration. (Take $g = 10 m s^{- 2}$ .)
A uniform beam $A B$ of length $6 m$ and weight $400 N$ rests on supports at $A$ and $B$ . A load of $60 N$ is placed on the beam at a distance of $2 m$ from $A$ . Find the re…
Two forces of $3 N$ and $5 N$ act at a point with an angle of $6 0^{\circ}$ between them. Find the magnitude of the resultant.
A particle of weight $80 N$ is held in equilibrium by two light strings making equal angles $α$ with the horizontal, where $sin α = \frac{4}{5}$ . Find the tension in each string.
A block of mass $2 kg$ is pulled along a rough horizontal surface by a horizontal force of $10 N$ . The coefficient of friction is $\frac{2}{5}$ . Find the acceleration. (Take…
A uniform beam $A B$ of length $6 m$ and weight $200 N$ rests on supports at $A$ and $B$ . A load of $45 N$ is placed on the beam at a distance of $4 m$ from $A$ . Find the re…
Two forces of $5 N$ and $8 N$ act at a point with an angle of $12 0^{\circ}$ between them. Find the magnitude of the resultant.
A particle of weight $320 N$ is held in equilibrium by two light strings making equal angles $α$ with the horizontal, where $sin α = \frac{4}{5}$ . Find the tension in each string.
A block of mass $10 kg$ rests on a rough horizontal table. The coefficient of friction is $\frac{2}{5}$ . Find the limiting friction. (Take $g = 10 m s^{- 2}$ .)
A uniform beam $A B$ of length $4 m$ and weight $400 N$ rests on supports at $A$ and $B$ . A load of $80 N$ is placed on the beam at a distance of $3 m$ from $A$ . Find the re…
Two forces of $3 N$ and $8 N$ act at a point with an angle of $12 0^{\circ}$ between them. Find the magnitude of the resultant.
A particle of weight $160 N$ is held in equilibrium by two light strings making equal angles $α$ with the horizontal, where $sin α = \frac{4}{5}$ . Find the tension in each string.
A block of mass $10 kg$ is pulled along a rough horizontal surface by a horizontal force of $60 N$ . The coefficient of friction is $\frac{1}{2}$ . Find the acceleration. (Take…
A particle slides down a rough plane inclined at $θ$ where $sin θ = \frac{3}{5}$ and the coefficient of friction is $\frac{1}{2}$ . Find its acceleration. (Take $g = 10 m s^{- 2}$ .)
A uniform beam $A B$ of length $10 m$ and weight $400 N$ rests on supports at $A$ and $B$ . A load of $150 N$ is placed on the beam at a distance of $1 m$ from $A$ . Find the…
Two forces of $5 N$ and $12 N$ act at a point at right angles to each other. Find the magnitude of their resultant.
A block of mass $4 kg$ rests on a rough horizontal table. The coefficient of friction is $\frac{1}{2}$ . Find the limiting friction. (Take $g = 10 m s^{- 2}$ .)
Two forces of $7 N$ and $15 N$ act at a point with an angle of $12 0^{\circ}$ between them. Find the magnitude of the resultant.
A block of mass $2 kg$ rests on a rough horizontal table. The coefficient of friction is $\frac{1}{2}$ . Find the limiting friction. (Take $g = 10 m s^{- 2}$ .)
A uniform beam $A B$ of length $10 m$ and weight $200 N$ rests on supports at $A$ and $B$ . A load of $150 N$ is placed on the beam at a distance of $4 m$ from $A$ . Find the…
A block of mass $4 kg$ rests on a rough horizontal table. The coefficient of friction is $\frac{1}{4}$ . Find the limiting friction. (Take $g = 10 m s^{- 2}$ .)
A uniform beam $A B$ of length $8 m$ and weight $300 N$ rests on supports at $A$ and $B$ . A load of $200 N$ is placed on the beam at a distance of $1 m$ from $A$ . Find the r…
A block of mass $10 kg$ rests on a rough horizontal table. The coefficient of friction is $\frac{1}{4}$ . Find the limiting friction. (Take $g = 10 m s^{- 2}$ .)
A uniform beam $A B$ of length $4 m$ and weight $200 N$ rests on supports at $A$ and $B$ . A load of $60 N$ is placed on the beam at a distance of $3 m$ from $A$ . Find the re…
A block of mass $5 kg$ is pulled along a rough horizontal surface by a horizontal force of $35 N$ . The coefficient of friction is $\frac{1}{2}$ . Find the acceleration. (Take…
A uniform beam $A B$ of length $4 m$ and weight $300 N$ rests on supports at $A$ and $B$ . A load of $40 N$ is placed on the beam at a distance of $1 m$ from $A$ . Find the re…
A block of mass $5 kg$ is pulled along a rough horizontal surface by a horizontal force of $25 N$ . The coefficient of friction is $\frac{3}{10}$ . Find the acceleration. (Take…
A uniform beam $A B$ of length $10 m$ and weight $100 N$ rests on supports at $A$ and $B$ . A load of $100 N$ is placed on the beam at a distance of $8 m$ from $A$ . Find the…
A particle of weight $400 N$ is held in equilibrium by two light strings making equal angles $α$ with the horizontal, where $sin α = \frac{4}{5}$ . Find the tension in each string.
A block of mass $2 kg$ is pulled along a rough horizontal surface by a horizontal force of $9 N$ . The coefficient of friction is $\frac{1}{4}$ . Find the acceleration. (Take…
A uniform beam $A B$ of length $8 m$ and weight $100 N$ rests on supports at $A$ and $B$ . A load of $160 N$ is placed on the beam at a distance of $3 m$ from $A$ . Find the r…
A block of mass $5 kg$ rests on a rough horizontal table. The coefficient of friction is $\frac{1}{2}$ . Find the limiting friction. (Take $g = 10 m s^{- 2}$ .)
A uniform beam $A B$ of length $10 m$ and weight $100 N$ rests on supports at $A$ and $B$ . A load of $100 N$ is placed on the beam at a distance of $4 m$ from $A$ . Find the…
Two forces of $3 N$ and $4 N$ act at a point at right angles to each other. Find the magnitude of their resultant.
A block of mass $4 kg$ is pulled along a rough horizontal surface by a horizontal force of $32 N$ . The coefficient of friction is $\frac{1}{2}$ . Find the acceleration. (Take…
A particle of mass $5 kg$ rests on a rough plane inclined at $θ$ where $tan θ = \frac{3}{4}$ , and is just on the point of slipping. Find the coefficient of friction.
A uniform beam $A B$ of length $8 m$ and weight $400 N$ rests on supports at $A$ and $B$ . A load of $200 N$ is placed on the beam at a distance of $1 m$ from $A$ . Find the r…
Two forces of $9 N$ and $12 N$ act at a point at right angles to each other. Find the magnitude of their resultant.
A block of mass $4 kg$ is pulled along a rough horizontal surface by a horizontal force of $16 N$ . The coefficient of friction is $\frac{3}{10}$ . Find the acceleration. (Take…
A uniform beam $A B$ of length $6 m$ and weight $100 N$ rests on supports at $A$ and $B$ . A load of $75 N$ is placed on the beam at a distance of $4 m$ from $A$ . Find the re…
A block of mass $10 kg$ rests on a rough horizontal table. The coefficient of friction is $\frac{3}{10}$ . Find the limiting friction. (Take $g = 10 m s^{- 2}$ .)
A uniform beam $A B$ of length $10 m$ and weight $400 N$ rests on supports at $A$ and $B$ . A load of $50 N$ is placed on the beam at a distance of $8 m$ from $A$ . Find the r…
A uniform beam $A B$ of length $8 m$ and weight $300 N$ rests on supports at $A$ and $B$ . A load of $120 N$ is placed on the beam at a distance of $6 m$ from $A$ . Find the r…
A block of mass $5 kg$ is pulled along a rough horizontal surface by a horizontal force of $30 N$ . The coefficient of friction is $\frac{2}{5}$ . Find the acceleration. (Take…
A uniform beam $A B$ of length $4 m$ and weight $400 N$ rests on supports at $A$ and $B$ . A load of $100 N$ is placed on the beam at a distance of $1 m$ from $A$ . Find the r…
A block of mass $4 kg$ is pulled along a rough horizontal surface by a horizontal force of $28 N$ . The coefficient of friction is $\frac{2}{5}$ . Find the acceleration. (Take…

Applied Maths: Forces, Friction and Equilibrium

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