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Two light springs of force constants k1 and k2 each 3.2 Nm-1 and a block of mass 200g are in one line AB on a smooth horizontal table such that one end of the each spring is fixed on a rigid support and the other end is free as shown fig. The distance CD between the free ends of a spring is 60cm. If block moves along AB with a velocity 120 cm/s in between the springs, the period of oscillations of the block is ?

Two light springs of force constants k1 and k2 each 3.2 Nm-1 and a block of mass 200g are in one line AB on a smooth horizontal table such that one end of the each spring is fixed on a rigid support and the other end is free as shown fig. The distance CD between the free ends of a spring is 60cm. If block moves along AB with a velocity 120 cm/s in between the springs, the period of oscillations of the block is ?



Grade:11

1 Answers

Chetan Mandayam Nayakar
312 Points
10 years ago

let the beginning of the period of the motion start when the block makes contact with one spring. There will be a SHM sort of motion but for only 50% of the time and the block will approach the other spring at 120 cm/s, Once again a half-cycle SHM will occur at the second spring and the block will once again approach the first spring at 120cm/s. So time period= 2pi(sqrt(m/k))+0.5 seconds

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