Two forces \(\mathbf { P }\) and \(\mathbf { Q }\) act on a particle. The force \(\mathbf { P }\) has magnitude 7 N and acts due north. The resultant of \(\mathbf { P }\) and \(\mathbf { Q }\) is a force of magnitude 10 N acting in a direction with bearing \(120 ^ { \circ }\). Find
the magnitude of \(\mathbf { Q }\),
the direction of \(\mathbf { Q }\), giving your answer as a bearing.
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A parcel of weight 10 N lies on a rough plane inclined at an angle of \(30 ^ { \circ }\) to the horizontal. A horizontal force of magnitude \(P\) newtons acts on the parcel, as shown in Figure 2. The parcel is in equilibrium and on the point of slipping up the plane. The normal reaction of the plane on the parcel is 18 N . The coefficient of friction between the parcel and the plane is \(\mu\). Find
(a) the value of \(P\),
(b) the value of \(\mu\).
The horizontal force is removed.
(c) Determine whether or not the parcel moves.