Question

6] The body Oscillates with SHM
according to the equation x-5 5
cos [ 274 t + I
Calculate the displacement ,speed ,acceleration of the body​

Answer 1

Explanation:

Given,

x=5cos(2πt+π)

t=1.5sec

Displacement, x=5cos(2π×1.5+π)=5cos(4π)

x=5m. . . . . .(1)

Velocity, v=

dt

dx

v=−10πsin(2πt+π)

v=−10πsin(2π×1.5+π)

v=−10πsin(4π)

v=0m/s. . . . .(2)

Acceleration, a=

dt

dv

a=−20π

2

cos(2πt+π)

a=−20π

2

cos(2π×1.5+π)

a=−20π

2

cos(4π)

a=−20π

2

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