MENARIO #3 A brick of mass m is hanging from a ribbon of negligible mass that...
A bucket of mass m is hanging from the free end of a rope whose other end is wrapped around a drum (radius R, mass M) that can rotate with negligible friction about a stationary horizontal axis. The drum is not a uniform cylinder and has unknown moment of inertia. When you release the bucket from rest, you find that it has a downward acceleration of magnitude (a). What is the tension in the cable between the drum and the...
A long cable of negligible mass is wrapped around the periphery of a solid diskot radius r and mass m. One end of the cable is fixed, and the disk is released from rest in the position shown. Find the (a) initial acceleration a of the center of the disk. (b) initial angular acceleration a of the disk. (c) tension Tin the cable. (d) time it takes for the disk to rotate one revolution. Note: Express your answers in terms...
please show all your work SECTION 3 - Newtonian Dynamics 3 (a) A rope (that can be considered massless) is wrapped around a horizontal cylinder of mass M and radius R. The cylinder is free to rotate, and a mass m is hanging on the end of the rope as shown in the diagram. When the mass is released, it falls under the effect of gravity. Show that the downward acceleration a of the hanging mass is: 1 + M/2m...
A block of mass m is hanging from a cord that is wrapped around a pulley with radius R and moment of inertia I. When the block is released from rest, the pulley will rotate counterclockwise. Part A Solve for the acceleration of the block (your answer can include m,g,R, and I) Part B Draw a free body diagram showing the forces that act on the block Part C What happens to the acceleration of the block if the moment...
A block (mass = 2.2 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.6 x 10-3 kg·m2), as the figure shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a...
3. As shown on the right, a thick ring with a mass of 200.0 grams has very low mass spokes and a low mass central hub supporting it on a very low friction bearing. String of negligible mass is tied and wrapped around the outer edge so it can freely M, -200.0 grams R, 5.00 cm R, 10.00 em unwind, but not slip. Attached to the end of the string is a mass of 100.0 grams. The outer radius of...
A mass m hangs from a string. The string is attached to a frictionless pulley of mass M and is wrapped around it many times around it. The hanging mass is released from rest from a height h above the floor. The pulley is a uniform disk. use the rotational and linear second laws to find the acceleration of the mass as it falls. I got a = 2mg/(2m+M). Is this correct? If, so please explain
Please help! 10, A block of mass m = 3.50 kg is hanging from a massless cord that is wrapped around a pulley (mass = 5.00 kg) as shown in the figure. The cord does not slip relative to the pulley as the block falls. Find the magnitude of the tension in the cord. (moment of inertia of the pulley áMr2)
A block of mass m = 2.50 kg is hanging from a massless cord that is wrapped around a pulley (mass = 4.50 kg) as shown in the figure. The cord does not slip relative to the pulley as the block falls. Find the magnitude of the acceleration of the hanging mass. (moment of inertia of the pulley = ½Mr²)
3. In the figure above, a spool or pulley with moment of inertia MR2 is hanging from a ceiling by a (massless, unstretchable) string that is wrapped around it at a radius R, while a block of equal mass M is hung on a second string that is wrapped around it at a radius r as shown. Find the magnitude of the acceleration of the the central pulley.