2) Two blocks with masses M1 and M2 are connected by a massless string that passes over a pulley as shown. M¡ has a mass of 2.25 kg and is on an incline of 49.5° with coefficient of kinetic friction µi = 0.205. M2 is on an incline of 35.5° with coefficient of kinetic friction µ2 = 0.105. The pulley can be modeled as a disk with a mass of 305 g and radius of 15 cm. When the system is released, Block M2 accelerates down the incline at rate of 0.52 m/s². (a) Determine mass of block 2 and the tension forces in the string connecting the blocks and the pulley. Draw accurate free body diagrams of both blocks and pulley, label each force correctly and show the steps in derivation of equations. (b) How much energy will be dissipated by friction 2 second after the blocks are released? M2 49.5° 35.5°

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A 1.0-kg mass hangs on a rope wrapped around a frictionless disk pulley of mass 5 kg and radius 0.5 m. What is the acceleration of the mass? (The moment of inertia of the pulley is 1/2MR2.)

I) A revolving door consists of a four identical panels mounted to a solid column. Each panel has a mass of 15 kg. The solid column has a mass of 20 kg with a radius of 250m. Find the rotational inertia about an axis that runs through the center of the solid column (the dashed line). 910 m 2.20 m Top down view: R = 250 m 910 m

For item 18: Table 1. Moment of Inertia of a Solid Disk Pulley mass of pulley M = 0.100 kg radius of pulley R = 0.120 m moment of inertia (computed) Ic = final velocity v (m/s) 2.40 0.00073 0.00072 O 0.00076 time t (s) 0.33 For item 19: CHOICES FOR NUMBER 19 0.00074 0.00075 18.) linear acceleration a (m/s²) 7.27 fallin g mass m (kg) 0.150 kg.m² Moment of Inertia (experimental) IE (kg.m²) 19.)

1. In the figure below, block 1 has a mass of m1 = 450 g and block 2 has a mass of m2 = 500 g. The pulley, which is mounted on a horiztonal axle with negligible friction through its center, has a radius of 5.00 cm. When released from rest, block 2 falls without the cord slipping on the pulley, travelling 75.0 cm before it reaches a speed of 0.300 m/s. What is the rotational inertia of the pulley? m2

Problem 5: A ball with a mass of 0.220kg is connected to a string with a length of 1.20m long so that the ball undergoes uniform circular motion with constant speed. If the string exerts a force of 30.0N to keep the ball rotating, a) what is the speed of the ball? b) What is the angular speed of the ball? (10 points)

Multiple-Concept Example 7 deals with the concepts that are important in this problem. A penny is placed at the outer edge of a disk (radius = 0.168 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.57 s. Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk. μs = Number Type your answer here Units Choose your answer here

Am1= 19.0-kg object and a m 2 = 9.0-kg object are suspended, joined by a cord that passes over a pulley with a radius of R = 30.0 cm and a mass of M = 3.00 kg as seen in the Figure. The cord has a negligible mass and does not slip on the pulley. The pulley rotates on its axis without friction. The objects start from rest d = 5.00 m apart. Treat the pulley as a uniform disk, and determine the speeds of the two objects as they pass each other. (Your result must be in units of m /s and include 2 digit after the decimal point. Maximum of 4% of error is accepted in your answer. Take g = 9.80 m/s 2.) Hint: For solid cylinder of disk the moment of inertia about an axis through center of mass is IcOM = MR %3D d.

= - = 6. A mass M₁ 10 kg resting on a horizontal frictionless surface is attached to a M₂ = 7 kg weight by a light wire that passes over a frictionless pulley. See figure. The pulley has the shape of a uniform disk of mass M3 4 kg and radius R 0.3 m. After the system is released, find (a) the tension in the wire on both sides of the pulley, (b) the acceleration of M₁, and (c) the horizontal and vertical forces that the axle exerts on the pulley. M1 M 3 M2