Physics - SHM Question with Solution | TestHub

PhysicsSHMCalculation of time periodHard2 minQB
PhysicsHardmatching list

A block is placed on a horizontal plank. The plank is performing SHM along a vertical line with amplitude of 40 cm. The block just loses contact with the plank when the plank in momentarily at rest.

List - I

List - II

(P) The period of oscillation in sec is

(1) Halfway down the mean position

(Q) The block weights 1.5 times its weight on the plank

(2)

(R) The block weights on the plank double its weight

(3) Velocity of the plank is maximum

(S) The block weights its true weight on the plank

(4) The plank is at one of the positions of momentary rest

Options:

Answer:
A
Solution:

(P).

N = m(g + a). At the mean position a = 0, so N = mg: true weight (S).

Maximum upward acceleration is at the lowest point; N = 2mg needs a = g, reached at the extreme - position of momentary rest (R).

N = 1.5mg needs a = g/2, halfway down the mean position (Q). Option (A).

Stream:JEESubject:PhysicsTopic:SHMSubtopic:Calculation of time period
⏱ 2mℹ️ Source: QB

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