M1 QUestion Jan 2007 Q7 c Help plz

A fixed wedge has two plane faces, each inclined at 30 to the horizontal. Two particles A and B, of mass 3m and m respectively, are attached to the ends of a light inextensible string. Each particle moves on one of the plane faces of the wedge. The string passes over a smooth light pulley fixed at the top of the wedge. The face on which A moves is smooth. The face on which B moves is rough. The coefficient of friction between B and this face is . Particle A is held at rest with the string taut. The string lies in the same vertical plane as lines of greatest slope on each plane face of the wedge, as shown in Figure 3.

The particles are released from rest and start to move. Particle A moves downwards and particle B moves upwards. The accelerations of A and B each have magnitude g.

(a) By considering the motion of A, find, in terms of m and g, the tension in the string.
(3)
(b) By considering the motion of B, find the value of .
(8)
(c) Find the resultant force exerted by the string on the pulley, giving its magnitude and direction.
(3)

I cant Do no 7 c the rest i can do plz explain and help

Reply 1

generalebriety

The pulley undergoes two forces from the string (which are actually tensions, but that's irrelevant). Draw a diagram of these two forces and just add them like you would add any two vectors.

Reply 2

Riddhy

can u plz clarify it clearly plz

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M1 QUestion Jan 2007 Q7 c Help plz

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