For the motion before \(B\) hits the ground, show that the acceleration of \(B\) is \(0.48 \mathrm {~ms} ^ { - 2 }\).
For the motion before \(B\) hits the ground, show that the tension in the string is 23.3 N .
Determine the value of \(\mu\).
After \(B\) hits the ground, \(A\) continues to travel up the plane before coming to instantaneous rest before it reaches \(P\).
Determine the distance that \(A\) travels from the instant that \(B\) hits the ground until \(A\) comes to instantaneous rest.
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The diagram shows a wall-mounted light. It consists of a rod \(A B\) of mass 0.25 kg and length 0.8 m which is freely hinged to a vertical wall at \(A\), and a lamp of mass 0.5 kg fixed at \(B\). The system is held in equilibrium by a chain \(C D\) whose end \(C\) is attached to the midpoint of \(A B\). The end \(D\) is fixed to the wall a distance 0.4 m vertically above \(A\). The rod \(A B\) makes an angle of \(60 ^ { \circ }\) with the downward vertical.
The chain is modelled as a light inextensible string, the rod is modelled as uniform and the lamp is modelled as a particle.
By taking moments about \(A\), determine the tension in the chain.
Determine the magnitude of the force exerted on the rod at \(A\).
Calculate the direction of the force exerted on the rod at \(A\).
Suggest one improvement that could be made to the model to make it more realistic.