The amplitude of a lightly damped oscillator decreases by 1.5% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?
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- A pendulum that consists of two uniform rings, the first ring has Radius R = 12 cm and mass 2.5kg, and the second ring has radius r= 7cm and mass 1.6kg. Both rings are attached to a rod of mass 0.15kg. The pendulum swings freely about frictionless pivot o. If the pendulum is to have a period of 2.2 a for small oscillations, what must be the rod length L?The springs of a 1600-kg car compress 4.70 mm when its 66.0-kg driver gets into the driver's seat. If the car goes over a bump, what will be the frequency of oscillations? Ignore damping. Express your answer using three significant figures. ΜΕ ΑΣΦ f= ? HzThis, the length of the pendulum is 1.89 m. Now you start with the pendulum at 8.5 degrees with respect to the vertical, but rather than releasing it from rest, you give it a push downward. It swings to the other side, and reaches a maximum angle of 42.5 degrees with respect to the vertical. What must have been the initial speed of the pendulum just after you pushed it? 4.99 m/s 3.06 m/s 3.12 m/s 0.64 m/s
- how to do?Let the spring have a mass of 191.3 +/- 01g. A 75+/- 01 g mass is attached to the spring. The mass is displaced 1/2 inch and released from rest. After fitting the position data with a sine fit, the position amplitude is found to be 0.0146+/- 0.0003 M. A) calculate the angular frequency of the mass (with uncertainty) b) Determine the amplitude of the velocity of the mass (with uncertainty) c) Find the amplitude of the acceleration (with uncertainty)A harmonic oscillator has angular frequency w and amplitude A. Assume that the elastic potential energy of the oscillator is zero at x = 0. At an instant when the displacement is equal to A/5, what fraction of the total energy of the oscillator is kinetic? Give the final answer to 2 decimal places.