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Gravity and motion — Question 199

Original QCE Vault practice · 1 mark

Q199 · Practice questionComplex unfamiliar1 mark

QUESTION 199

A block of mass mm rests on a 30.0∘30.0^\circ incline. A rope exerts force PP at 20.0∘20.0^\circ above the incline, as shown. The block remains in contact with the plane. Which expression gives the normal force magnitude?
Block on a 30 degree slope. A force arrow starts at the block centre and points 20 degrees above a dotted line parallel to the slope. Both angles have separate reference arcs. Not to scale.
(A)
mgcos⁡30∘+Psin⁡20∘mg\cos30^\circ+P\sin20^\circ
(B)
mgsin⁡30∘−Pcos⁡20∘mg\sin30^\circ-P\cos20^\circ
(C)
mgcos⁡30∘−Psin⁡20∘mg\cos30^\circ-P\sin20^\circ
(D)
mg−Pcos⁡50∘mg-P\cos50^\circ
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