A mass of 1.23 kg is attached to an ideal spring with a spring constant of 235 N/m and set into oscillations with an amplitude of 0.08 m. What distance from equilibrium is the mass when its speed is 0.387 m/s? Just enter  a number rounded to 3 significant figures. Assume proper SI Units.

Ten measurements of the period of a simple pendulum were as follows: 2.13 s, 2.07 s, 2.24 s, 2.20 s, 2.08 s, 2.11 s, 2.15 s, 2.19 s, 2.22 s, 2.16 s  (1) Calculate the standard deviation (SD) of the measurement results, and the standard error which is given by:standard error = SD/n

A  3kg weight is attached to a spring with constant k= 48 kg /m and subjected to an external force F(t) = 42 cos(3t). The weight begins at rest in its equilibrium position. Find its displacement for t>0 , with y(t) measured positive upwards.

A simple pendulum oscillates with a frequency of 6.1 Hz.  How long (in centimeters) is the pendulum?

A mass m is attached to a spring of force constant 76.0 N/m and allowed to oscillate. The figure (Figure 1) shows a graph of its velocity vx as a function of time t. Find the period, frequency, and angular frequency of this motion. What is the amplitude (in cm)? At what times does the mass reach the position x=±A in the interval between t=0s and t=1.8s including the endpoints? Find the maximum acceleration of the mass. Find the times at which the maximum acceleration occurs in the interval between t=0s and t=1.8s including the endpoints. What is the mass m?

A mass m = 1.9 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 4.5 cm and a frequency f = 1.05 Hz. Part (a)  Write an equation for the spring constant k.   Part (b)  Calculate the spring constant k, in Newtons per meter.  Part (c)  Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement.  Part (d)  Calculate the total mechanical energy E, in joules.

A pendulum's angular position is given by ?= 0.0340 cos (?t), where ? is in radians and ? = 6.23 rad/s.  Find the period (in s) and length (in m) of the pendulum.

A uniformly dense rigid rod with mass of 6 kg and length of 0.6 m rotates around its center of mass. Two springs with equal spring constants of 200 J/m2 are attached to each end of the rod (thus there are a total of four springs attached to the rod). What is the period (in s) of small amplitude oscillations of this system?

The period of a simple pendulum (T) is measured as a function of length (L) on an unknown planet. The dependence of of L is linear (see the graph below). Use the slope of this graph to calculate the acceleration of gravity on this planet, in m/s2. 0.25 y = 0.0909x 0.2 0.15 0.1 0.05 Plot Area 0.5 1 1.5 2 2.5 L (m) T?/4 pi?(s')

. A plucked rubber band oscillates at 57.4 Hz. How many times does it oscillate in 5.0 s? In Problem 7, what is the period of oscillation?