A 0.110 kg body undergoes simple harmonic motion of amplitude 7.19 cm and period 0.500 s. (a) What is the magnitude of the maximum force acting on it? (b) If the oscillations are produced by a spring, what is the spring constant?

An apple weighs 1.04 NN. When you hang it from the end of a long spring of force constant 1.54 N/mN/m and negligible mass, it bounces up and down in SHM. If you stop the bouncing and let the apple swing from side to side through a small angle, the frequency of this simple pendulum is half the bounce frequency. (Because the angle is small, the back and forth swings do not cause any appreciable change in the length of the spring.)   What is the unstretched length of the spring (i.e., without the apple attached)? Express your answer with the appropriate units.

A spring with spring constant 15.0 N/m hangs from the ceiling. A ball is suspended from the spring and allowed to come to rest. It is then pulled down 6.00 cm and released. If the ball makes 30 oscillations in 20.0 s, what are its (a) mass and (b) maximum speed?

A spring Is suspended vertically from a celling. When a 2.80-kg mass is attached to the bottom of the spring, Its equilibrlum length Increases by 4.00 cm. If the mass Is further pulled down by 5.00 cm from its new equilibrlum length and released, what is the frequency of the simple harmonic motion?

The amplitude of a 2.40-kg mass oscillating on a horizontal frictionless surface is 13.5 cm. If thespring to which the mass is attached has a spring constant of 8.24 x 10^3N/m, then what is the maximum speed of the mass?

A mass on a spring, moving with simple harmonic motion, vibrates with a frequency of 4.0 Hz and an amplitude of 8.0 cm. If x = 8.0 cm when t = 0, find its speed when t = 3 s.

(a) A device consists of an object with a weight of 35.0 N hanging vertically from a spring with a spring constant of 250 N/m. There is negligible damping of the oscillating system. Applied to the system is a harmonic driving force of 13.0 Hz, which causes the object to oscillate with an amplitude of 3.00 cm. What is the maximum value of the driving force (in N)? (Enter the magnitude.) N (b) What If? The device is altered so that there is a damping coefficient of b = 5.00 N s/m. The hanging weight and spring constant remain the same. The same driving force as found in part (a) is applied with the same frequency. What is the new amplitude (in cm) of oscillation? cm (c) What If? Repeat the same calculation as part (b), only now with a damping coefficient of b = 100 N s/m. (Enter the answer in cm.) cm

Assume you have a spring with an elastic constant of 85 N/m, and want it to oscillate once every 0.45 seconds. What mass would you need to attach to the spring?