A 187 kg sculpture hangs from a horizontal rod that serves as a pivot about which the sculpture can oscillate. The sculpture's moment of inertia with respect to the pivot 16.8⁢ kg·m2. When it is swung at small amplitudes, it is found to oscillate at a frequency of 0.614 Hz. The accleration due to gravity is ?=9.81 m/s2. What is the distance ?d from the pivot to the sculpture's center of mass?

An object on a spring: An object is attached at the end of a spring with no friction. The amplitude of its motion is 50cm, the period 10sec. After 2sec, what are the position, velocity and acceleration of the object?

Answer..

K ( thevine white 51649 1₁ Class Work ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE ELECTRICITY MECHANICS acceleration A amplitude C. No - FM E e energy frequency f F = force K kinetic energy spring constam Wal- Langular mothentom (length P = power P momentum U 1.99 T= period wtime V b. Find the acceleration each mass. radius or separation W R-E! A 7. AV potential energy volume P-TAV R-ER What is the tension force in the rope? F 4 15 kg 1 = Jonash - speed work done on a system position scceleration w power charge 12 kg O 1. "A 12 kg load hangs from one end of a rope that passes over a small frictionless pulley. A 15 kg counterweight is suspended from the other end of the rope. The system is released from rest & time V a. Draw a free-body diagram for each object showing all applied forces in relative scale. Next to each diagram show the direction of the acceleration of that object. d. What distance does the 12 kg load move in the first 3 s? TEQUESEN What is the velocity of 15 kg…

I have tried 9.81 and 9.82 but says its wrong.

An undamped 1.20 kg1.20 kg horizontal spring oscillator has a spring constant of 39.4 N/m.39.4 N/m. While oscillating, it is found to have a speed of 3.86 m/s3.86 m/s as it passes through its equilibrium position. What is its amplitude ?A of oscillation?

Pr5. A pointlike body of mass m made of lead is fixed inside a homogeneous solid sphere of radius R and mass m at distance R/2 from the center of the sphere. This body is placed on a horizontal rough surface. Find the period of small oscillations of the sphere around its equi- librium position. (The sphere rolls without slip- ping on the surface. The moment of inertia of a homogeneous sphere of mass m and radius R is 2mR* /5.) R/2

What frequency is depicted in the following equation of an oscillator? Assume that the units work out and the amplitude is in millimeters and the time tt is in seconds. x(t)=−2.2sin(40t−π3)x(t)=−2.2sin⁡(40t−π3) a. 6Hz6Hz b. 20πHz20πHz c. 16Hz16Hz d. 180πHz180πHz e. π20Hzπ20Hz f. 80πHz80πHz

For a simple pendulum, the restoring "force" is the torque due to gravity, mgL. Here m is the mass of the pendulum, g is the acceleration due to gravity, and L is the length of the pendulum. The "inertia" is the rotational inertia, mL². What is the expected period T of a simple pendulum? OA. 2л√/mg/L OB. 2√✓/L/mg OC. 2n√L/g OD. 2n√g/L OE. none of these

7. A spring with a spring constant of 55 N/m² is set up horizontally on a frictionless surface with a 3.5 kg mass attached to the spring. If the mass is stretched 0.125 m from equilibrium and released from rest then determine the following: