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A spherical ball of mass \( m=5 \mathrm{~kg} \) rests between two planes which make angles of \( 30^{\circ} \) and \( 45^{\circ} \) respectively
\( \mathrm{P} \) with the horizontal. The system is in equilibrium. Find the normal forces exerted on the ball by each of the planes. The planes are smooth.
(1) \( \mathrm{N}_{45}=96.59 \mathrm{~N}, \mathrm{~N}_{30}=136.6 \mathrm{~N} \)
(2) \( \mathrm{N}_{30}=96.59 \mathrm{~N}, \mathrm{~N}_{45}=136.6 \mathrm{~N} \)
(3) \( \mathrm{N}_{45}=136.6 \mathrm{~N}, \mathrm{~N}_{30}=96.56 \mathrm{~N} \)
(4) None of these
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