A block of mass m1 = 1.95 kg and a block of mass m2 = 5.70 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge- shaped ramp makes an angle of 0 = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. Use g=9.8 m/s?. М, R (b) Determine the acceleration of the two blocks. (Enter the magnitude of the acceleration.) m/s2 (c) Determine the tensions in the string on both sides of the pulley. N left of the pulley right of the pulley N

The figure shows a conical pendulum, in which the bob (the small object at the lower end of the cord) moves in a horizontal circle at constant speed. (The cord sweeps out a cone as the bob rotates.) The bob has a mass of 0.0340 kg, the string has length L = 0.720 m and negligible mass, and the bob follows a circular path of circumference 0.618 m. What are (a) the tension in the string and (b) the period of the motion? (a) Number Units (b) Number Units Bob Cord L

A small 0.360-kg object moves on a frictionless horizontal table in a circular path of radius 2.90 m. The angular speed is 4.35 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 167 N, what is the radius of the smallest possible circle on which the object can move?

A Ferris wheel has a diameter of 10.0m and makes one revolution in 8.00 seconds. A girl weighing 321 N is sitting on one of the benches attached at the rim of the wheel. What is the force exerted on her by the bench as she passes through the lowest point of her motion?

A 1.67 kg disc is attached to the end of a string whose length is 0.39 m. The disc slides without friction on a horizontal surface as indicated in the Figure. If the string can withstand a maximum tension of 96.9 N, what is the maximum tangential speed the disc can have before the cord breaks? HINT: The centripetal force exerted by the string on the mass must be the result of all the forces acting, i.e. the tension. m/s R The disc is whirled in a vertical circle of the same radius about a fixed point. Find the tension at the top if the speed at the top is 2.66 m/s. HINT: The centripetal force whish is the force that accelerates the mass towards the center, equals the sum of all of the forces acting on the mass. At the top, both the mass and the tension provide that force. N

A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.885 rad/s. You, with a mass of 73.7 kg, walk clockwise around the platform along its edge at the speed of 1.17 m/s with respect to the platform. Your 20.3 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 17.5 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 91.9 kg and radius 1.99 m. Calculate the total angular momentum of the system. total angular momentum: kg · m2/s

A potter's wheel-a thick stone disk of radius 0.500 m and mass 115 kg-is freely rotating at 50.0 rev/min. The potter can stop the wheel in 6.00 s by pressing a wet rag against the rim and exerting a radially inward force of 71.0 N. Find the effective coefficient of kinetic friction between the wheel and rag.

A block (mass = 3.0kg) is hanging from a mass-less string that is wrapped around a pulley. The string is 120cm long. Initially the string was wrapped fully and the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.050m during the block's descent. The mass rolls from rest down to the end of the string. Find the transnational kinetic energy. Find the rotational kinetic energy. Find the angular speed.

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 4.00 kg mass is attached to a vertical rod by the means of two 1.25 m strings which are 2.00 m apart. The mass rotates about the vertical shaft producing a tension of 80.0 N in the top string. (a) What is the tension on the lower string? (b) How many revolutions per minute does the system make?