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Mechanics
Question: The diagram shows a horizontal force of magnitude 30 N acting on a block of
mass 2 kg, which is at rest on a plane inclined at 50⁰ to the horizontal. Find the magnitude
and direction of the frictional force on the block.
(Assume g = 10 ms-2)
Answer:
50⁰
30 N
50⁰
30 N
50⁰
50⁰
W = mg = (2 ⨯ 10) N = 20 N
20 cos 50⁰ N
A force of 30 cos 50⁰ N (= 19.28 N) is acting along
the inclined plane in the upward direction.
A force 20 sin 50⁰ N (= 15.32 N) is acting along
the inclined plane in the downward direction.
Therefore, there is a resultant force of 3.96 N
acting in the upward direction, which will tend to move
the block upwards.
Since, the frictional force will oppose motion, it
will act in the downward direction and will have a
magnitude of 3.96 N (since the block is at rest).
m = 2 kg , g = 10 ms-2

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A problem related to friction

  • 1. Mechanics Question: The diagram shows a horizontal force of magnitude 30 N acting on a block of mass 2 kg, which is at rest on a plane inclined at 50⁰ to the horizontal. Find the magnitude and direction of the frictional force on the block. (Assume g = 10 ms-2) Answer: 50⁰ 30 N 50⁰ 30 N 50⁰ 50⁰ W = mg = (2 ⨯ 10) N = 20 N 20 cos 50⁰ N A force of 30 cos 50⁰ N (= 19.28 N) is acting along the inclined plane in the upward direction. A force 20 sin 50⁰ N (= 15.32 N) is acting along the inclined plane in the downward direction. Therefore, there is a resultant force of 3.96 N acting in the upward direction, which will tend to move the block upwards. Since, the frictional force will oppose motion, it will act in the downward direction and will have a magnitude of 3.96 N (since the block is at rest). m = 2 kg , g = 10 ms-2