A' LEVEL MATHS M1 TEST 1

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This is the A-Level Mathematics question paper for M1. Use it for exam practice under timed conditions.

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A' LEVEL MATHS M1
TEST 1

Q1. The diagram shows 3 coplanar forces acting on a particle $\mathbf{O}$.

Calculate the Magnitude and Direction of the additional force, which acting on the particle will result in equilibrium.
2.

One end of a string is attached to a ring of mass 0.12 kg which is threaded onto a rough horizontal bar. The coefficient of friction $6 / w$ the ring and bar is 0.7 .
a). In the first case the strong is taut and turns an angle of $35^{0}$ downwards. Given that the string is on the point of slipping, find the tension in string.
b). In the $2^{\text {nd }}$ case the string is taut and makes an angle of $35^{\circ}$ upwards. Given the tension in the string is 1.3 N , find the acceleration of the ring.