A point mass oscillates along the x -axis according to the law x = x 0 cos ( ω t − π /4 ) . If the acceleration of the particle is written as a = A cos ( ω t + δ )

Question

A point mass oscillates along the x -axis according to the law x = x 0 ​ cos ( ω t − π /4 ) . If the acceleration of the particle is written as a = A cos ( ω t + δ )

TestHub · Accepted Answer

v = − x 0 ​ ω sin ( ω t − π /4 ) a = − x 0 ​ ω 2 cos ( ω t + π − 4 π ​ ) a = A cos ( ω t + δ ) A = x 0 ​ ω 2 ; δ = 4 3 π ​

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