1 A particle of mass 0.2 kg is resting in equilibrium on a rough plane inclined at \(20 ^ { \circ }\) to the horizontal.
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- Show that the friction force acting on the particle is 0.684 N , correct to 3 significant figures. [1]
The coefficient of friction between the particle and the plane is 0.6 . A force of magnitude 0.9 N is applied to the particle down a line of greatest slope of the plane. The particle accelerates down the plane. - Find this acceleration.
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A block of mass 15 kg hangs in equilibrium below a horizontal ceiling attached to two strings as shown in the diagram. One of the strings is inclined at \(45 ^ { \circ }\) to the horizontal and the tension in this string is 120 N . The other string is inclined at \(\theta ^ { \circ }\) to the horizontal and the tension in this string is \(T \mathrm {~N}\). Find the values of \(T\) and \(\theta\).