An "ideal" spring with spring constant 0.3 N/m is attached to a block with mass 0.6 kg on one end and a vertical wall on the other. The floor has negligible friction, and you give the block a push and then let go. You observe that the block undergoes simple harmonic motion with a maximum speed of 2 m/s. What is the angular frequency of the oscillations?

You have made a physical pendulum by swinging a rod of mass M = 0.61 kg and length L = 0.86 meters around its end. The mass of the rod is distributed uniformly along its length. We will assume that the amplitude of the swing is max = 14.67 degrees. Solid Rod Swings in Simple Harmonic Motion Ө=-0max Determine all the following: 0=+0₁ max The FORMULA for the moment of inertia of your rod, I = The distance from the pivot point to the Center-Of-Mass, d = The angular frequency of the pendulum, w = The amplitude of the motion in radians, 8max = The angular velocity when 0 = 65% of full swing, w(0 = 0.65 0max) NOTE: The first question requires a FORMULA, not a value. rad/sec radians = meters rad/sec

A child with mass of 10 kg gets into a toy car with mass of 65 kg on a playground, causing it to sink on its spring (withspring constant 327 N/m). An adult walks by and gives the top of the car a shove, causing it to undergo oscillationswith amplitude 30 cm in the vertical direction. Assuming the oscillations are simple harmonic, what is the angularfrequency of the oscillations?ω = (in rad/s) a. 0.673 b. 1.715 c. 2.088 d. 2.243 e. 5.717

A 3.72 x 10-2-kg block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 125 N/m. The block is shoved parallel to the spring axis and is given an initial speed of 9.98 m/s, while the spring is initially unstrained. What is the amplitude of the resulting simple harmonic motion?