A box and a solid cylinder of equal mass M are moving across horizontal surfaces which are joined to ramps, as shown in the figure. The surface on which the box moves is frictionless, but the surface on which the cylinder rolls is not, so that the cylinder rolls without slipping. Both ramps have the same angle of inclination 0. V If both objects have the same velocites v just as they reach the ramps, what is the ratio of the maximum center- of-mass heights reached by the two objects, hpox/hcyl? 1/2 3/4 2/3 4/3 Now imagine that both ramps are frictionless, and that the box and the cylinder arrive at the start of their ramps with the same initial velocities v. How does the new height, HCyl,noFriction Compare to hBox? O Hcyl, noFriction > hBox O Hcyl,noFriction < hBox O Hcyl,noFriction = hBox

A solid spherical ball starts from rest at an initial height of 1.7 m, and rolls down an incline. The ball's mass is 3.4 kg and its radius is 17.5 cm. What is the ball's final center of mass (translational) speed (in m/s)?

A child's top is held in place upright on a frictionless surface. The axle has a radius of r 3.21 mm. Two strings are wrapped around the axle, and the top is set spinning by T T applying T = 2.40 N of constant tension to each string. If it takes 0.590 s for the string to unwind, how much angular 2r momentum L does the top acquire? Assume that the strings do not slip as the tension is applied. R SP 9.15 x10¬3 kg-m² L = S Point P is located on the outer surface of the top, a distance h = 35.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 = 24.0°. If the final tangential speed v, of point P is 1.45 m/s, what is the top's moment of inertia I? T 2r T 2.42 x10-4 kg-m? = Incorrect

A disk of mass (m) and radius (R) is spinning counterclockwise about its axis of symmetry with angular speed (w). A blob of class of mass (mc) is dropped onto the disk at a distance (d) from its center and sticks to the disk. What is the final angular speed of the system? Assume there is an axle through the center of the disk, and that the disk is spinning around an axle through its center, like a turntable. Also assume d<R