A mass m sits on a horizontal frictionless surface and is attached to a wall by

Question

A mass m sits on a horizontal frictionless surface and is attached to a wall by means of a spring having force constant k. The mass is now subjected to an additional force of the form F(t) = Acosbt . (a) Write the equation of motion for this mass. (b) What is the solution to this equation which satisfies the conditions x(t==0) = 0; and v(t=0) = 0? (c) Assume now that the driving frequency is twice the natural frequency of the oscillator. What is the period of the motion? (d)Write an expression for the power delivered to the mass by the external force. (e) Integrate your expression for the power over one cycle of the motion. Is this the result you would expect? Explain. WELL EXPLAINED ANSWERS GET BETTER RATINGS.

Explanation / Answer

A mass oscillating on a spring is shown at equal time intervals. ... now evaluate y for certain values of t. .... Consider a mass m that is on a frictionless horizontal surface and is attached to a spring ... is at its maximum value of A, we have. E ... kx), we first find the spring's force constant: k. 50 N/m. Applying Eq. 15

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