Question: A body with mass of 500 g is attached to the end of a spring that is stretched 50 cm by a force of

A body with mass of 500 g is attached to the end

A body with mass of 500 g is attached to the end of a spring that is stretched 50 cm by a force of 64 N. At time t=0 the body is pulled 1 m to the left, stretching the spring, and set in motion with an initial velocity of 30 m/s to the right. (a) Find x(t) in the form C cos (@nt- a) - (b) Find the amplitude and the period of motion of the body. 17 15 (a) x(t) = cos 16t - arctan 8 8 (Use integers or decimals for any numbers in the expression, Round to four decimal places as needed.)

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