simple harmonic motion of spring and simple pendulum

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15. The displacement of a mass oscillating on a spring is given by x(t) = x_m * cos(wt + ph). If the initial displacement is zero and the initial velocity is in negative x direction, then the phase constant phi is:

16. Mass m, oscillating on the end of a spring with spring constant k, has amplitude A. Its maximum speed is

17. A 3 kg block, attached to a spring, executes simple harmonicmotion according to x =2cos(50t) where x is in meters and t is in seconds. The spring constant of the spring is

18. If the length of a simple pendulum is doubled, its period will

19. A simple pendulum is suspended from a ceiling of an elevator. The elevator is accelerating upwards with acceleration a. The period of the pendulum, in terms of its length L, g, and a is

20. Three physical pendulums, with mass m1, m2 = 2m1, and m3 = 3m1, have the same shape and size and are suspended at the same point. Rank them according to their periods, from shortest to longest.

The length of a simplependulum is 0.71 m, the pendulum bob has a mass of 311 grams, and it is released at an angle of 12° to the vertical.
With what frequency (in hertz) does it vibrate? Assume simpleharmonicmotion.
What is the pendulum bob's speed (in m/s) when it passes through the lowest point of the swing?
What

What is the free fall acceleration in a location where the period of a 2.15 m long pendulum is 2.94s? Answer in units of m/s2. The answer must be written within + or - 0.14%

An 0.50 kg object is attached to one end of a spring, and the system is set into simpleharmonicmotion. The displacement x of the object as a function of time is shown in the drawing below. With the aid of this data, determine the following values.
(a) amplitude A of the motion
(b) angular frequency
(c) spring c

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34. Block rests on a frictionless horizontal surface and is attached to a spring. When set into simpleharmonicmotion, the block oscillates back and forth with an angular frequency of 7.0 rad/s. The drawing indicates the position of the block when the spring is unstrained. T

A simplependulum is made from a 0.883 m long string and a small ball attached to it's free end. The ball is pulled to the side through a small angle and then released from rest. After the ball is released how much time elapses before it attains it's greatest speed?

88. A simplependulum of length 20 cm and mass 5.0 g is suspended in a race car traveling with constant speed 70 m/s around a circle of radius 50 m. If the pendulum undergoes small oscillations in a radial direction about its equilibrium position, what is the frequency of oscillation?

?What is the effective force constant for a simplependulum of mass .6 kg and length 2.27 meters? If released from a position .1362 meters from equilibrium what will be its velocity when it is halfway to its equilibrium point, and what will be its velocity at equilibrium.

1. A 300-g mass at the end of a spring oscillates with an amplitude of 7.0 cm and a frequency of 1.80 Hz. (a) Find its maximum speed and maximum acceleration. (b) What is its speed when it is 3.0 cm from its equilibrium position?
A) 8.96 m/s, 8.9 m/s2 (b) 0.45 m/s
B) 79.2 m/s, 895 m/s2 (b) 0.512 m/s
C) 0.79 m/s, 8

A block with mass attached to a horizontal spring with force constant is moving with simpleharmonicmotion having amplitude. At the instant when the block passes through its equilibrium position, a lump of putty with mass m is dropped vertically onto the block from a very small height and sticks to it.
For this value of m, w