Problem 3: Starting from rest, a Soap Box Derby racer rolls without sliding down a frictionless ramp. The racer rolls on two cylinders with mass and radii as shown. a) Develop an equation for the speed of the racer when it has rolled a distance D down the ramp in terms of the masses and radii. (You do not need to fully reduce the algebra) b) Show that your derived equation results in consistent and correct units of measure.

A 40-N weight hangs from a (massless inelastic) cord that runs around the outside of a pulley. The pulley is a uniform solid disk of radius 12.8 cm and mass 6.5 kg. You may assume the system is released from rest. Determine the angular acceleration of the pulley. Express your answer in rad/s², to at least one digit after the decimal point. 40 N

Please answer question 2

MII-1 Consider a solid disk of mass M and radius R, which has a uniform density. a) The disk is rotated about an axis that goes through its center and is perpendicular to its face, as shown in the diagram below on the left. Find a formula for its moment of inertia. Your answer should be a symbolic expression that only depends on the variables M and R. Hint: you will need to divide the disk into infinitesimal mass elements (dm) and then perform the integral: r?dm b) Suppose the radius of the disk is 12.5 cm and the mass is 1.75 kg. Use the formula from part a) to calculate a numerical value for the moment of inertia, in kg m2. c) Now the axis of rotation is moved from the center of the disk to the end of the disk, as shown in the diagram below on the right. Find an expression for its moment of inertia. Hint: theorem. As before, your answer should only depend on the variables M and R. d) Suppose the radius of the disk is 12.5 cm and the mass is 1.75 kg. Use the formula from part c) to…

A solid cylindrical pulley with a mass of 1.60 kg and a radius of 0.290 m is free to rotate about its axis. An object of mass 0.270 kg is attached to the pulley with a light string (the figure below). Assume the string does not stretch or slip. "Calculate the tension in the string. (Express your answer to three significant figures.) Submit N Calculate the angular acceleration of the pulley. (Express your answer to three significant figures.) rad/s² Submit f

A flywheel whose moment of inertia /= 200 lb-ft2 is spinning at 180 RPM. For a flywheel, KE = Iw2/2, where w is the angular velocity, rad/s. Let g = 32.2 ft/s². Step 1 How high above the surface of the earth, in ft, would a 60 lb mass have to be raised to have its potential energy equal to the kinetic energy of the flywheel? h = i ft

A long, thin uniform rod of length 1.29m and mass 2.08kg is pivoted about a horizontal, frictionless pin passing through one end. The rod is released from one end in the vertical position. L y Pivot x At the instant the rod is horizontal, find its angular speed. Submit Answer Tries 0/10 At the instant the rod is horizontal, what is its angluar acceleration? Submit Answer Tries 0/10 At the instant the rod is horizontal, what is the magnitude of its x-component of acceleration at its centre of mass? Submit Answer Tries 0/10 At the instant the rod is horizontal, what is the magnitude of its Y-component of acceleration at its centre of mass? Submit Answer Tries 0/10

A bowling ball of mass 8.0 kg and radius 9.0 cm rolls without slipping down a lane at 4.0 m/s. Part A Calculate its total kinetic energy. Express your answer using two significant figures. ΜΕ ΑΣΦ K = ? J