Problem 1: The Thanksgiving turkey (m_T = 7.0 kg) is in the center of the table, on the tablecloth. The cat (m_c = 5.5 kg) attempts to investige the nice smell by leaping onto the hanging edge of the tablecloth. Assume that the coefficient of friction µ between turkey and tablecloth is large, but the coefficient of friction between the tablecloth and the table under the turkey is only 0.4. What happens next? Is there enough friction between tablecloth and table that the cat can climb up the tablecloth? If not, what is the acceleration of the turkey?

Problem 2: A "Vacuum Bazooka" accelerates a 2.5-gram ping-pong ball from rest to a speed of 300 m/s in a distance of 1.8 meters. What is the average force on the ping-pong ball?

Problem 3: A bouy of mass m bobbing in the ocean experiences a net force Fy = - ρgAy. Ignoring why it experiences that force, or what all the constants ρgA mean, would the buoy move with simple harmonic motion? If so, what would be the period of the buoy's motion?

Problem 4: The position of a mass m at the end of a spring with spring constant k is given by

y(t) = y_osin(√(k/m)t+ Φ)

What is the velocity v_y of this mass, as a function of time?

Problem 5: You put a mass m on the end of a hanging unscratched spring k, and release it. The mass will of course drop and oscillate with simple harmonic motion. How long after you drop the mass does it first experience a speed of zero?

Problem 6: The problems on this set are a bit tougher than average, so to cut you a break there is no problem 6.

Problem 7: The length of the simple pendulum on my Grandfather's grandfather clock is L = 0.8 m. The gearing on the clock must accurately convert "swings" to "minutes". How many swings per minute for this clock?

Problem 8: Bubba is standing on a trampoline, gently "simple-harmonicing" up and down with a period of T = 0.9 s. He begins to slowly increase the amplitude of his oscillation. At what amplitude does he lose contact with the trampoline?

Problem 9: A mass m on a frictionless horizontal surface is attached to a horizontal spring with spring constant k. The mass is then moved to position x_o ≠ 0, and released. How fast is the mass going when it reaches x = 0?

Problem 10: Do the "Assignment" section in Python problem 4 on the course webpage.

Problem 11: A simple pendulum of length L and mass m is attached to an ideal spring of spring constant h, as shown. Shown that for small oscillations, the motion is simple harmonic and find w for the mass?