3. A 24 kg mass is undergoing simple harmonic motion with an amplitude of 25 cm. If the force constant of the spring is 50 N/m:

Physics

Simple harmonic motion Solutions

13. Suppose that a 3-kilogram mass oscillates freely with an amplitude of 2.1 centimeters at the end of an ideal spring whose stiffness is 50 N/m. (Laulima will provide randomized numerical values for mass, amplitude, and spring constant.) Neglect all friction. What is the maximum speed that the mass experiences at any time during its oscillation? Convert your final answer to centimeters/second: cm/s • Calculate and enter your final answer to at least 2 significant figures. There is no penalty for including too many significant figures, but rounding to too few sig figs may cause Laulima to judge your answer to be wrong. • Do NOT enter units with your answer; enter only a numerical response. Laulima will count non-numerical answers as incorrect.

Physics

Simple harmonic motion Solutions

22. A geologist suspends a 0.30-kg stone on an ideal spring. In equilibrium the stone stretches the spring 2.0 cm downward stone is then pulled an additional distance of 1.0 cm down and released from rest. (a) Write do ne equation for the vertical position y of the stone as a function of time t, using the cosine function. Take the origin at the equilibrium point of the stone, with the positive y direction upward. (b) How fast is the stone moving at a time equal to 1/3 of its period of motion? B i U Font Family AA Ą P = E Q CSD #S

Physics

Simple harmonic motion Solutions

Questions #1-12: A mass mis attached to the end of an ideal, massless spring with constant k, as shown. The mass is initially displaced to the right of the spring's equilibrium position by a distance A, then released and allowed to oscillate freely. The mass then repeatedly passes through positions QRSPQ. Neglect all friction, unless told otherwise. 12. Suppose the above system is oscillating with an amplitude of 6.7 centimeters, and has a spring with constant 18 N/m. (Laulima will provide you randomized numerical values for amplitude and spring constant.) What is the total mechanical energy of the system? Convert your final answer to millijoules: m] • Calculate and enter your final answer to at least 2 significant figures. There is no penalty for including too many significant figures, but rounding to too few sig figs may cause Laulima to judge your answer to be wrong. • Do NOT enter units with your answer; enter only a numerical response. Laulima will count non-numerical answers as incorrect.