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A stone is dropped from the top of a tower hits the ground 6 seconds later. How high is the tower?
A string clamped at both ends, vibrates in a pattern of six loops at a frequency of 240 HzWhat frequency will cause it to vibrate in four loops ?
While driving behind a car traveling at 3.05 m/s, you notice that one of the car's tires has a small hemispherical bump on its rim
(a) Explain why the bump, from your viewpoint behind the car, executes simple harmonic motion.
(b) If the radii of the car's tires are 0.395 m, what is the bump's period of oscillation (in s)?
(c) What If? You hang a spring with spring constant & a 100 N/m from the rear view mirror of your car. What is the mass (in kg) that needs to be hung from this spring to produce simple harmonic motion with the same period as the bump on the tire?
(d) What would be the maximum speed of the hanging mass in your car (in m/s) if you initially pulled the mass down 8.00 cm beyond equilibrium before releasing it? (Enter the vertical component of the speed only.)
m/s
Given a specific length of a string, 100cm, identify the wavelengths of the fourth and fifth normal mode (n = 4,5). Given a specific wave speed identify the fourth harmonic.
A plastic ball attached to a spring moves in simple harmonic motion. The amplitude of the ball's motion is 10.5 cm, and thi
spring constant is 7.50 N/m. When the ball is halfway between its equilibrium position and its maximum displacement fron
equilibrium, its speed is 27.0 cm/s.
(a) What is the mass of the ball (in kg)?
(b) What is the period of oscillation (in s)?
(c) What is the maximum acceleration of the ball? (Enter the magnitude in m/s?
If oil flows out of a pipe at the speed of 2.65m/s and the diameter of the pipe is 5.0cm, determine the discharge rate?
A harmonic oscillator vibrates with frequency of 4 HZ and an amplitude of 2cm.what is its maximum velocity?
At the instant a harmonic oscillator has a displacement of -8cm,its acceleration is 2cm/s,what is the period
NASA is expected to launch a 2, 600 kg satellite 450 km above the Earth’s surface. What is the expected velocity of the satellite when it orbits the Earth?
A fluid at 0.7 bar occupying 0.09m^3 is compressed reversibly to a pressure of 3.5 bar according to a law pv^n. The fluid is then heated reversibly at constant volume until the pressure is 4 bar ;the specific volume is then 0.5m^3/kg . A reversible expansion according to a law pv^2=constant restores the fluid to its initial state. Sketch the cycle on p-v diagram and calculate
The mass of fluid present
The value of n in the first process
Net work of the cycle
