When a 2.5 kg mass is suspended from a spring stretches by 0.05m. (a) What is its force constant of the spring? (b) if the suspended mass is set into vibration, what will be its frequency?

A vertical spring stretches 8.2 cm when a 1.6 kg block is hung from its end. (a) Calculate the spring constant. This block is then displaced an additional 4.8 cm downward and released from rest. Find the (b) period, (c) frequency, (d) amplitude, and (e) maximum speed of the resulting SHM.

(a) A pendulum is made from a 40 g mass hanging on a 50 cm long string. The pendulum oscillates with a frequency of 0.70 Hz and an amplitude of 10 degrees. (i) If the mass is doubled to 80 g, what would the new frequency be? (ii) If the string length is doubled to 100 cm, what would the new frequency be? (iii) If the amplitude is doubled to 20 degrees, what would the new frequency be?

The magnitude of the maximum velocity of a mass attached to a spring in SHM is 4.85 m/s. The period of the motion is 0.328 s. (a) What is the amplitude of the oscillation? (b) Assuming at t = 0 x has its maximum value, what is the velocity of the mass 2.50 s after its motion began?

A0.366 kg body undergoes simple harmonic motion of amplitude 6.08 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? (a) Number i Units (b) Number i Units

(a)What is the maximum velocity of an 85.0-kg person bouncing on a bathroom scale having a force constant of 1.50X106 N/m, if the amplitude of the bounce is 0.200 cm? (b)What is the maximum energy stored in the spring?

A vertical spring stretches 13 cm when a 3.4 kg block is hung from its end. (a) Calculate the spring constant. This block is then displaced an additional 3.7 cm downward and released from rest. Find the (b) period, (c) frequency, (d) amplitude, and (e) maximum speed of the resulting SHM.

(a) A 40 g object hangs from a spring with spring constant 2 N/m, and oscillates with a frequency of 1.12 Hz and an amplitude of 8 cm. (i) If the mass is doubled to 80 g, what would the new frequency be?(ii) If the spring constant is doubled to 4 N/m, what would the new frequency be? (iii) If the amplitude is doubled to 16 cm, what would the new frequency be?

A vertical spring-mass system has a 0.6kg weight attached to its end. You stretch the spring 0.4 m away from its equilibrium positon and when it oscillates up and down, it has a frequency of 2.5hz. (a) Calculate the Spring Constant (b) If you increase the distance that you stretch the spring-mass system, expalin how this would affect it's frequency. (c) At what distance from the spring-mass system's equilibrium position does it have the smallest acceleration? Explain your reasoning.

A 0.4 kg mass is attached to a spring that can compress as well as stretch (spring constant 50 N/m). The mass and spring are resting on a horizontal tabletop. The mass is pulled, stretching the spring 48 cm. When it is released, the system begins to oscillate. (b)  Now assume that the effects of friction are not negligible. When pulled back and released as before, the mass now reaches its furthest distance from equilibrium at 40 cm on the compressed side (before bouncing back again). Construct a complete Energy-System Diagram that could be used to determine the amount of energy transferred to thermal systems when going from the initial stretched position to where it first momentarily stops.