A spring with a stiffness of 300 N/m is connected to a 15 kg mass. A displacement of 60 cm to the right of the equilibrium position is applied to the mass initially. It began oscillating against a frictionless surface after being released from rest. What is the maximum velocity and acceleration of mass ?

A 5 kg oscillator has a speed of  6.5 m/s when its displacement is 1.5 m and 2.9 m/s when its displacement is  9.7 m. What is the oscillator's maximum speed?

A 3 kg object attached to an ideal massless spring is compressed 1.2 m. If the spring constant is 45 N/m, find the magnitude of the spring force.

Problem 9: An ideal pendulum of length L=1.1 m supports a mass of m =0.5 kg. Initially the pendulum is lifted such that it makes an angle of 0 = 26 degrees with respect to the vertical. m 10

Questions 2-5 reference the picture of mass attached to a spring shown. The left most picture gives the spring in its relaxed (equilibrium) position. The mass is lifted to point "B" and let go such that it oscillates up and down as shown in the right most position. Positions B and C are its highest and lowest points while bouncing. Point A is where the mass is traveling the fastest. Neglect air drag. 100 g BA A 100 g 100 g C At what point will the system have the largest total energy? O A В C All points will have the same amount of total energy.

The displacement of an oscillating mass is given by x(t) = 30 cos( 5 t ). At time t = 0.5π s, what is the acceleration of the mass in m/s2?(Note that: π = 3.1415)

Suppose a 78 kg person is bouncing on a bathroom scale which has a force constant of 1.25 × 106 N/m. What is the maximum velocity of the person, in meters per second, if the amplitude of the bounce is 0.235 cm?   What is the maximum energy, in joules, stored in the spring?

A spring with a force constant of 300 N/m is attached to and compressed by a 4 kg mass to a compression of 1.5 m.  The mass is released from rest.  The surface is frictionless. How much time does it take the mass to return to the equilibrium position the first time after release? What is the velocity of the mass when it returns to the equilibrium position the first time after release?  Include sign.

A stiff spring k = 666 N/m has be attached to the floor vertically. A mass of 6.66 kg is placed on top of the spring as shown below and it finds a new equilibrium point. If the block is pressed downward and released it oscillates. If the compression is too big, however, the block will lose contact with the spring at the maximum vertical extension. Draw a free body diagram and find that extension at which the block loses contact with the spring.

What will be the period of oscillation (in seconds) of a mass-spring system whose spring has an elastic constant of 110.4 N / m and the mass has a value of 3852.8 g?