A small fly of mass 0.8 g is caught in a spider's web. The web oscillates predominantly with a frequency of 10 Hz. At what frequency (in Hz) would you expect the web to oscillate if an insect of mass 0.5 g were trapped? (What equation can I use to find the frequency at which it ocilates?)

A mass m at the end of a spring oscillates with a frequency of 0.78 Hz. When an additional 770 g mass is added to m, the frequency is 0.61 Hz. What is the value of m?

Problem 2:  Special sections of roadway are sometimes paved with “rumble strips” to alert inattentive drivers. In a particular case the grooves are spaced L = 0.26 m apart and the depth of each groove is d = 0.35 cm. As you drive over this rumble strip, the tires of your car oscillate about their equilibrium positions with a frequency of f = 68.6Hz. Refer to the figure, which is not drawn to scale.  Part (b) Find the vertical position of the tire, in centimeters, at the time t = 1.85 s. Part (c) With your tire oscillating at a frequency of f = 68.6 Hz and the distance between grooves L = 0.26 m, what is the speed of your car, in kilometers per hour?

A 43 kg mass on the end of a spring with spring constant k = 1,470 oscillates with simple harmonic motion x = A cos (@t+@). Find the minimum time taken in seconds (to 3 decimal points) for the mass to travel from 0.81A to 0.54A.

A 0.4 kg block hangs from a spring with a spring constant of 17  N/m. At t=0s the block is 0.3  m below the equilibrium point and moving upward with a speed of  1.6  m/s. What is the block's oscillation frequency (in Hz)?

A mass of 7.2 kg is attached to a spring with the spring constant 30.0 N-m¹ and is placed on a frictionless surface with the spring attached to a wall. The spring is then compressed by 0.03 m and released to oscillate with simple harmonic motion. Calculate the absolute value of maximum velocity of the mass on spring. Provide your answer in Sl units.

A 1.4 kg mass attached to a horizontal spring oscillates at a frequency of 2.1 Hz. At t =0 s, the mass is at x= 1.1 m and has vx =− 2.9 m/s. What is the position (in meters) at t =2 s?

The scale of a spring balance that reads from 0 to 36.1 kg is 24.1 cm long. A package suspended from the balance is found to oscillate vertically with a frequency of 2.21 Hz. (a) What is the spring constant? (b) How much does the package weigh?

A 236 g ball is tied to a string. It is pulled to an O angle of 7.8 and released to swing as a pendulum. A student with a stopwatch finds that 13 oscillations take 18 s. You may want to review (Pages 405 - 407). How long is the string? Express your answer to two significant figures and include the appropriate units. L = μÅ Value Ć Units ?

A harmonic oscillator is made by using a 0.640 kg frictionless block and an ideal spring of unknown force constant. The oscillator is found to have a period of 0.152 s and a maximum speed of 2 m/s a)Find the force constant of the spring. Express your answer in newtons per meter.   b)Find the amplitude of the oscillation. Express your answer in millimeters.