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A horizontal plank has a rectangular blo...

A horizontal plank has a rectangular block placed on it. The plank starts oscillating vertically and simple harmonically with an amplitude of 40 cm. The block just loses contact with the plank when the latter is at momentary rest Then.

A

the period of oscillation is `2pi//5` s

B

the block wighs double its weight when the plank is at one of the positions of momentary at rest

C

the block weighs 1.5 times its weight on the plank half way down

D

the block weighs its true weight on the plank, when the later moves fastest

Text Solution

Verified by Experts

The correct Answer is:
B

At one of the extreme position, weight of block = restoring force. At the other extreme position, weight of block and restoring force both act downward direction. So, the force on block at is doubled than its weight.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-OSCILLATIONS-EXERCISE 1
  1. The maximum speed of a particle executing S.H.M. is 1 m/s and its maxi...

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  2. A particle of mass 1 kg is moving in SHM with an amplitude 0.02 m and ...

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  3. A horizontal plank has a rectangular block placed on it. The plank sta...

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  4. A body has a time period T(1) under the action of one force and T(2) u...

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  5. A body of mass 5 gm is executing S.H.M. about a point with amplitude 1...

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  6. This time period of a particle undergoing SHM is 16 s. It starts motio...

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  7. The maximum acceleration of a body moving is SHM is a(0) and maximum v...

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  8. The time period of a simple pendulum inside a stationary lift is sqrt(...

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  9. A particle executes simple harmonic motion with an amplitude of 4 cm ....

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  10. A block of mass m is resting on a piston as shown in figure which is m...

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  11. A particle executes SHM, its time period is 16 s. If it passes through...

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  12. The equation of SHM of a particle is given as 2(d^(2)x)/(dt^(2))+32x=0...

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  13. An iron ball of mass M is hanged from the ceilling by a spring with a ...

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  14. The amplitude of a executing SHM is 4cm At the mean position the speed...

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  15. A particle executing simple harmonic motion of amplitude 5 cm has maxi...

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  16. The maximum velocity a particle, executing simple harmonic motion with...

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  17. The motion of a particle is given by x=A sin omegat+Bcos omegat. The m...

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  18. The amplitude and maximum velocity will be respectively X= 3 sin 2t +...

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  19. Out of the following functions representing motion of a particle which...

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  20. The displacement of a particle from its mean position (in mean is give...

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