A wheel with a radius of 0.25 m is mounted on a frictionless horizontal axle. The moment of inertia of the wheel about the axis is 0.040. A light cord wrapped around the wheel supports the 0.50 kg of the box. The wheel is released from the rest. What is the magnitude of acceleration of the 0.50 kg box?

A homogeneous pulley with two grooves consists of two wheels which turn together as one around the same axis. The moment of inertia of the two wheels together is ICM = 40 kg m2. The radii are: R1 = 1.2 m and R2 = 0.4 m. The masses that hang on both sides of the pulley are m1 = 36 kg and m2 = 12 kg. We will assume that the masses of the ropes are negligible. Determine the angular acceleration of the pulley, acceleration of the masses, and the tensions of the ropes.

A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.961 rad/s. You, with a mass of 66.5 kg, walk clockwise around the platform along its edge at the speed of 1.11 m/s with respect to the platform. Your 20.5 kg poodle also walks clockwise around the platform, but along a circle at half the platform's radius and at half your linear speed with respect to the platform. Your 18.3 kg mutt, on the other hand, sits still on the platform at a position that is 3/4 of the platform's radius from the center. Model the platform as a uniform disk with mass 92.9 kg and radius 1.93 m. Calculate the total angular momentum of the system.

A uniform disk of mass 7 kg and radius 0.2 m is free to rotated about an axis perpendicular to its center.  A constant force of size 146 N acts at the edge of the disk, in a direction tangent to that edge.  The force acts until the disk has completed 169 full rotations.  What is the angular momentum of the disk after those rotations are complete, in kg m2/s?  It could be useful to you to know that the rotational inertia of a uniform disk is 1/2 M R2. (Please answer to the fourth decimal place - i.e 14.3225)

A goat stands on a merry-go-round that is rotating at 6.1 rad/s. If the coefficient of static friction between the goat's hooves and the merry-go-round is 0.45, how far from the axis of rotation can the goat stand without sliding? Express your answer in m, to at least one digit after the decimal point. plz help use g = 9.8

A motorcycle with a 200 kg body has two 20 kg wheels with 40 cm radii (whose mass distribution is not known). At the top of a 10 m tall hill the wheels are spinning at 358 rpm, and after coasting down the hill the motorcycle is moving at 21 m/s. If the wheels of the motorcycle were not slipping the entire time, what is the moment of inertia of a single wheel?

The two blocks are connected by a massless rope that passes through a pulley. Mass of first block is m1 = 1 kg, mass of the second block is m2= 5 kg. Mass of the pulley is M = 2 kg. Radius of the pulley is R= 10 cm. First block is placed on the 30 incline and the second block is hanging above the table at the height of 40 cm. Then, the system is released and the first block starts sliding up the incline and the second block starts falling toward the table. a) forces that apply to the pulley. b) pulley. Consider the pulley to be a disc and use disc's moment of inertia(/ = MR?/2) c) acceleration of the blocks. Draw the FBD for both blocks and draw separately the Write down equations of motion for the blocks and Using the equations from part (b) to calculate the Finally, find the velocity that the second block will d) acquire just before hitting the table using energy. m1 m2

Homework Q6.

A 16-kg block is attached to a cord that is wrapped around the rim of a flywheel of diameter 0.40 m and hangs vertically, as shown. The moment of inertia of the flywheel is 0.70 kg-m2. When the block is released and the cord unwinds, what is the acceleration of the block, expressed in terms of the acceleration due to gravity, g? 40 0.4 m 16 kg 1.8g O 1.0 g O 0.72 g 0.13 g O 0.48 g

A disk with uniform density and radius 0.551 m used to weigh 20.22 kg, but then a hole was punched out. The black arrow in the image above shows the axis of rotation. The hole has radius 00753 m, and has its center 0.103 m away from the center of the disk. What is the înoment of inertia of the disk with a hole? (Hint: only a scientist could call a hole negative mass! Find the mass taken away based on hole size and disk) Answer: Check Choose...