First slide

Simple hormonic motion

Question

A block of mass 1 kg is connected with a massless spring of force constant 100 N/m .At t = 0, a constant force F = 10 N is applied on the block. The spring is in its natural length at t = 0. The speed of particle at x = 6 cm from mean position is

Moderate

A

4 cm/s
B

10 cm/s
C

80 cm/s
D

50 cm/s

Solution

$A = \frac{F}{K}, ω = \sqrt{\frac{K}{m}}; V = ω \sqrt{A^{2} - x^{2}}$

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