The motion of a body is described by the equation 4.90 sin (0.170πt) where t is in s and y is in m. (a) Find the amplitude. (b) Find the period. (c) Find the frequency. (d) Find the displacement at t = 5.00 s. (e) Find the displacement at t = 30.0 s.

A body with mass of 250 g is attached to the end of a spring that is stretched 25 cm by a force of 9 N. At time t=0 the body is pulled 1 m to the left. stretching the spring, and set in motion with an initial velocity of 5 m/s to the right. (a) Find x(t) in the form C cos (-a). (b) Find the amplitude and the period of motion of the body.

An object undergoing purely oscillatory motion in one dimension has an acceleration given by:  ax(t)=−amaxsin(2pi t / T+ delta) with amax = 2.97 m/s2, T = 8.9 s, and delta= 1.03 rad. What is the maximum speed of the object? What is the amplitude of the object's position? What is the change in x-component velocity of the object from t = 0 s to t = 4.70 s? (your calculator must be in radians for this problem)

A mass of 4.6 g is suspended from a massless spring of natural length 90 mm with the spring constant k = 3 Nm and causes the spring to extend by 10 mm. The mass is pulled down a further 5 mm and then released. Assuming g = 9.8 ms2, calculate the period of simple harmonic motion of the mass. Give your answer in Sl units.

Problem 3: An object is undergoing simple harmonic motion along the x-axis. Its position is described as a function of time by x(t) = 1.7 cos(3.1t – 1.3), where x is in meters, the time, t, is in seconds, and the argument of the cosine is in radians. Part (a) Find the amplitude of the simple harmonic motion, in meters. Part (b) What is the value of the angular frequency, in radians per second? Part (c) Determine the position of the object, in meters, at the time t = 0. Part (d) What is the object's velocity, in meters per second, at time t = 0? Part (e) Calculate the object's acceleration, in meters per second squared, at time t = 0. Part (f) What is the magnitude of the object's maximum acceleration, in meters per second squared?

Some passengers on an ocean cruise may suffer from motion sickness as the ship rocks back and forth on the waves. At one position on the ship, passengers experience a vertical motion of amplitude 1.5 m with a period of 13 s.  Part A: What is the maximum acceleration of the passengers during this motion? Express your answer using one significant figure. Part B: What fraction is this of g ? Express your answer using one significant figure.

A mass of 16 kilograms is suspended from a spring with spring constant 7 Kg/sec^2. The damping constant is 2 Kg/sec and the spring is subject to an external force F(t)= 3cos(9t) Newtons. The motion of the mass eventually settles down to a periodic oscillation. What is the period (in sec) of this periodic oscillation? 2 9.

A (12.6 + A) g mass is hung on a string with a length of (68.4 + B) cm. The mass is then pulled back until the string makes a (5.00 + C/10) degree angle from the vertical and released. Find the period of the pendulum. Give your answer in seconds (s) and with 3 significant figures. A=20 B=78 C=8

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 0.500-kg mass is suspended from a string, forming a pendulum. The period of this pendulum is 3.16 s when the amplitude is 1.00 cm. The mass of the pendulum is now reduced to 0.250 kg. What is the period of oscillation now, when the amplitude is 2.00 cm?