Exam 13: Oscillations About Equilibrium

A 3.7-kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant)is 450 N/m. The block is pulled from its equilibrium position at x = 0.000 m to a position x = +0.080 m and is released from rest.The block then executes simple harmonic motion along the horizontal x-axis.The maximum elastic potential energy of the system is closest to

A 0.50-kg object is attached to an ideal spring of spring constant (force constant)20 N/m along a horizontal,frictionless surface.The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position.At what distance from the equilibrium position are the kinetic energy and potential energy of the system the same?

If your heart is beating at 76.0 beats per minute,what is the frequency of your heart's oscillations in hertz?

A simple pendulum has a period T on Earth.If it were used on Planet X,where the acceleration due to gravity is 3 times what it is on Earth,what would its period be?

An astronaut has landed on Planet N-40 and conducts an experiment to determine the acceleration due to gravity on that planet.She uses a simple pendulum that is 0.640 m long and measures that 10 complete oscillations 26.0 s.What is the acceleration of gravity on Planet N-40?

A 1.53-kg piece of iron is hung by a vertical ideal spring.When perturbed slightly,the system is moves up and down in simple harmonic oscillations with a frequency of 1.95 Hz and an amplitude of 7.50 cm.If we choose the total potential energy (elastic and gravitational)to be zero at the equilibrium position of the hanging iron,what is the total mechanical energy of the system?

A 0.25 kg harmonic oscillator has a total mechanical energy of 4.1J. If the oscillation amplitude is 20.0 cm. What is the oscillation frequency?

An object is attached to a vertical spring and bobs up and down between points A and B.Where is the object located when its elastic potential energy is a minimum?

A block attached to an ideal spring of force constant (spring constant)15 N/m executes simple harmonic motion on a frictionless horizontal surface.At time t = 0 s,the block has a displacement of -0.90 m,a velocity of -0.80 m/s,and an acceleration of +2.9 m/s² .The mass of the block is closest to

If both the mass of a simple pendulum and its length are doubled,the period will

How much mass should be attached to a vertical ideal spring having a spring constant (force constant)of 39.5 N/m so that it will oscillate at 1.00 Hz?

What is the length of a simple pendulum with a period of 2.0 s?

The position of an object that is oscillating on a spring is given by the equation x = (17.4 cm)cos[(5.46 s^-1)t].What is the angular frequency for this motion?

An object of mass m = 8.0 kg is attached to an ideal spring and allowed to hang in the earth's gravitational field.The spring stretches Before it reaches its equilibrium position.If it were now allowed to oscillate by this spring,what would be its frequency?

A 92-kg man climbs into a car with worn out shock absorbers,and this causes the car to drop down 4.5 cm.As he drives along he hits a bump,which starts the car oscillating at an angular frequency of 4.52 rad/s.What is the mass of the car?

If the frequency of the motion of a simple harmonic oscillator is doubled,by what factor does the maximum speed of the oscillator change?

A ball is attached to an ideal spring and oscillates with a period T.If the mass of the ball is doubled,what is the new period?

A leaky faucet drips 40 times in What is the frequency of the dripping?

The period of a simple pendulum that is 1.00 m long on another planet is What is the acceleration due to gravity on this planet if the mass of the pendulum bob is 1.5 kg?

A simple pendulum having a bob of mass M has a period T.If you double M but change nothing else,what would be the new period?