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Oscillations

Question
CBSEENPH11020830
Wired Faculty App

Two blocks A and B of masses 3m and m respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of A and B immediately after the string is cut, are respectively

  • g,g/3

  • g/3, g

  • g,g

  • g/3, g/3

Solution

B.

g/3, g


Before the string is cut
kx = T + 3mg ...(1)
T = mg .. (2)

⇒ 

kx = 4mg
After the string is cut, T = 0

straight a space equals space fraction numerator kx minus 3 mg over denominator 3 straight m end fraction straight a space equals space fraction numerator 4 space mg space minus 3 mg over denominator 3 straight m end fraction straight a equals space straight g over 3

Some More Questions From Oscillations Chapter

If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?

The displacement of an object attached to a spring and executing simple harmonic motion is given by x = 2 × 10-2 cos πt metres. The time at which the maximum speed first occurs

A particle of mass m executes simple harmonic motion with amplitude ‘a’ and frequency ‘ν’. The average kinetic energy during its motion from the position of equilibrium to the end is

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