8. A pendulum with a length of 1.00 m is released from an initial angle of 15.0°. After 1 000 s, its amplitude has been reduced by friction to 5.50°. What is the value of b/2m?

2. A certain pendulum has a period of 1.60s on earth. What is the period of this pendulum on a planet that has gravitational acceleration of 3.71 m/s?

Velocity and Acceleration of Simple Pendulum. L= 1m,T0 = 0, θ = 0, θ’ = 10deg/s, θ’’ = 2deg/s*s. Tf = 1sec, θ = 45 deg, θ’ = 5deg/s, θ’’ = 1 deg/s*s   Find the position at T0 and Tf

2 W S X H 3 E D 80 C 4. The period of oscillation of a given mass that is connected to a vertical spring (k₁ = 340 N/m) is 1.80 s. If the same mass were instead suspended from a different spring (k₂ = 550 N/m), what would be the period of oscillation? $ 4 22 888 600 R F % 5 V FS T G S 6 tv MacBook Air B Y & 7 H Ad コ N 8 ( 9 M K DD MOSISO H P zoom command SUI y r 04 M vawes or rne nuffer m option

3. A 20 g block is attached to a spring and oscillates at 2.0 Hz. At one instant, the block is at x = 5.0 cm and has a velocity v = -30 cm/s Find the amplitude and the period of the motion.

A spiral staircase wind up to the top of the tower in an old castle. To measure the height of the tower, a rope is attached to the top of the tower and hung down the center of the staircase. However, nothing is available with which to measure the length of the rope. Therefore, at the bottom of the rope a small object is attached so as to form a simple pendulum that just clears the floor. The period of the pendulum is measure to be 6.53 s. What is the height of the tower?

A 50.0 g mass is attached to a horizontal spring with a spring constant of 15.0 N/m and released from rest with an amplitude of 30.0 cm. What is the velocity of the mass when it is halfway to the equilibrium position if the surface is frictionless?m/s

3. A simple harmonic oscillator consists of a block attached to a spring with k = 200 N/m. The block slides on a frictionless surface, with equilibrium point x = 0 and amplitude 0.20 m. A graph of the block's velocity v as a function of time t is shown. The horizontal scale is set by t, = 0.20 s.What v (m/s) t (s) are -2n the period of the SHM the block's mass а. b. it's displacement at t = 0 it's acceleration at t = 0.10 s, and it's maximum kinetic energy? С. d. е.

20. A mass attached to the end of a string oscillates like a pendulum with small amplitude. The mass has horizontal velocity u₂(t) and vertical velocity (t). Which of the following could be a graph of the curve (vz(t), vy(t)) over a complete oscillation? vy(t) (A) (D) vy(t) Q v₂ (t) vy(t) (B) 4 (E) vy(t) 8 vy(t) S v₂ (t) v₂ (t) (C) vy(t) % v₂ (t)

A 507 g mass oscillates with an amplitude of 10.0 cm on a spring whose spring constant is 20.0 N/m. Determine:a. The period.b. The maximum speed.c. The total energy.