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QAIPMT-2004-Ph-2637: NEET 2004 Physics - Class 11 AIPMT-2004-Ph-2637 Solution: A block of mass m is placed on a smooth wedge of inclination \( …
A block of mass m is placed on a smooth wedge of inclination . The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block will be (g is acceleration due to gravity)
Multiple Choice Options
- A
- B
- C mg
- D
Step-by-Step Verified Solution
The wedge is given an acceleration to the
left.
_ The block has a
pseudo acceleration to
the right, pressing
against the wedge
because of which the
block is not moving.
_ mgsin _ = macos _
or a = g sin _ _ cos _ _
Total reaction of the wedge on the block is
N = mgcos _ + masin _ .
_ N = m g cos _ _ + m g sin _ _ sin _ _ cos _ _
_ N = m g ( cos 2 _ + sin 2 _ ) cos _ _ = m g cos _ _