JEE MainPhysicsLaws of MotionMCQ+4 / −1
A block of mass M slides down on a rough inclined plane with constant velocity. The angle made by the incline plane with horizontal is . The magnitude of the contact force will be :
- AMg
- B
- C
- D
View written solutionFree
Correct answer: A
- Forces acting on the block
A block sliding down a rough incline experiences:
- Weight: vertically downward
- Normal reaction: perpendicular to the plane
- Friction: along the plane, opposite the motion
Since the block slides down with constant velocity, its acceleration is zero.
- Resolve forces along the incline
Component of weight along the incline:
Since acceleration is zero along the plane,
- Resolve forces perpendicular to the incline
Perpendicular component of weight:
So normal reaction is
- Find the contact force
The contact force is the resultant of normal reaction and friction, because both are contact forces.
So its magnitude is
Substitute:
- Correct option
- Comparison with stored answer
Stored correct answer:
Our derived answer is also , so they agree.
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