The figure shows a rigid assembly of a thin hoop (of mass m = 0.30 kg and radius R = 0.17 m) and a thin radial rod (of length L = 2R and also of mass m = 0.30 kg). The assembly is upright, but we nudge it so that it rotates around a horizontal axis in the plane of the rod an hoop, through the lower end of the rod. Assuming that the energy given to the assembly in the nudge is negligible, what is the assembly's angular speed about the rotation axis when it passes through the upside-down (inverted) orientation?

A bowling ball, whose radius R is 11 cm and whose mass is 7.2 kg. rolls from rest down a plank whose length L is 2.1 m. the plank is inclined at an angle φ of 34 degrees to the horizontal. How fast is the ball moving when it reaches the bottom of the plank?   please can you show the answer in hand written form

Suppose you had a machine for 100% efficiently transferring kinetic energy of a rotating bicycle pedal to electrical energy. If the mass of a pedal is 200 g, (a) how fast must the pedal be moving to power a 17.00 W LED light? (b) what is the angular speed, in rpm, if the distance from the centre of the crank to the pedal is 16 cm?

A solid ball of mass 0.10 kg and radius 2.8 cm is released from rest on a no-slip surface at a height of 0.75 m above the bottom of the track, as shown. After reaching its lowest point, the ball begins to rise again, this time on a frictionless surface. Find: a) the ball's angular speed when it is on the frictionless side of the track and b) the height ball rises on the w = 120 rad/s; h = 0.54 m frictionless side.

In the figure, three 0.02 kg particles have been glued to a rod of length L = 13 cm and negligible mass and can rotate around a perpendicular axis through point O at one end. How much work is required to change the rotational rate (a) from 0 to 20.0 rad/s, (b) from 20.0 rad/s to 40.0 rad/s, and (c) from 40.0 rad/s to 60.0 rad/s? (d) What is the slope of a plot of the assembly's kinetic energy (in joules) versus the square of its rotation rate (in radians-squared per second-squared)?

Question is on the picture

A thin cylindrical ring starts from rest at a height h1 = 98 m. The ring has a radius R = 34 cm and a mass M = 4 kg. Part (a)  Write an expression for the ring's initial energy at point 1, assuming that the gravitational potential energy at point 3 is zero.  Part (b)  If the ring rolls (without slipping) all the way to point 2, what is the ring's energy at point 2 in terms of h2 and v2?  Part (c)  Given h2 = 32 m, what is the velocity of the ring at point 2 in m/s? Part (d)  What is the ring's rotational velocity in rad/s? Part (e)  After passing point 2 the hill becomes frictionless and the ring's rotational velocity remains constant. What is the linear velocity of the ring at point 3 in m/s?

A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 131-mile trip in a typical midsize car produces about 3.01 x 10 J of energy. How fast would a 38.5-kg flywheel with a radius of 0.597 m have to rotate to store this much energy? Give your answer in rev/min. Number i jud eTextbook and Media Units >

A uniform rod of length 1.20 m and mass 2.00 kg is free to rotate about a frictionless axle through one end. From the horizontal position, the rod is released from rest. A small piece of putty of mass 0.500 kg is suspended from the pivot by a string of negligible mass and length 0.800 m, as shown in the figure below. The putty sticks to the rod on contact. Determine the amount of mechanical energy dissipated in the collision. 1.20 m 0.800 m putty

a small 50 g block slides down a frictionless surface through height h  20 cm and then sticks to a uniform rod of mass 100 g and length 40 cm.The rod pivots about point O through angle u before momentarily stopping. Find u.