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9709 P42 - Mar 2016 - Q4
3973

A particle P of mass 0.8 kg is placed on a rough horizontal table. The coefficient of friction between P and the table is \(\mu\). A force of magnitude 5 N, acting upwards at an angle \(\alpha\) above the horizontal, where \(\tan \alpha = \frac{3}{4}\), is applied to P. The particle is on the point of sliding on the table.

(i) Find the value of \(\mu\).

(ii) The magnitude of the force acting on P is increased to 10 N, with the direction of the force remaining the same. Find the acceleration of P.

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