Find the magnitude of the force in each of the struts \(A D\) and \(B D\).
A horizontal force of magnitude \(F \mathrm {~N}\) is applied to the block in a direction parallel to \(A B\).
Find the value of \(F\) for which the magnitude of the force in the strut \(A D\) is zero.
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A block \(B\), of mass 2 kg , lies on a rough inclined plane sloping at \(30 ^ { \circ }\) to the horizontal. A light rope, inclined at an angle of \(20 ^ { \circ }\) above a line of greatest slope, is attached to \(B\). The tension in the rope is \(T \mathrm {~N}\). There is a friction force of \(F \mathrm {~N}\) acting on \(B\) (see diagram). The coefficient of friction between \(B\) and the plane is \(\mu\).
It is given that \(F = 5\) and that the acceleration of \(B\) up the plane is \(1.2 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
Find the value of \(T\).
Find the value of \(\mu\).
It is given instead that \(\mu = 0.8\) and \(T = 15\).
Determine whether \(B\) will move up the plane.