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.
3. In the figure above, a spool or pulley with moment of inertia MR2 is hanging...
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)
A 1-kg block hanging from a cord wrapped around a cylinder pulley. The moment of inertia of pulley is 1 kg m2 and the radius of pulley is 0.2 m. What is the angular acceleration of the pulley and the free fall acceleration of the block? PLEASE SHOW ALL WORK. CORRECT ANSWER IS 5 rad/s/s & 1 m/s/s
A light string is wrapped around a spool (shape is unknown, thus you don't know moment of inertia) of radius 0.5m. A 5.0-kg mass is hung from the string causing the spool to rotate and the string to unwind the spool rotates from rest to 10 rad/s in 2 s. Find (A) the angular acceleration of spool. (B) Moment of inertia, © The tension in the string.
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...
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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 (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...
A special pulley has two hubs where two different strings wrap around either hub. The pulley has total moment of inertia I= 1.6 kg m^2. The smaller hub has radius r1=8cm, and the string wrapped around this hub connects to the mass m1= 200kg. This mass rests on a frictionless plane incline at angle 0=30. The second string wraps around the larger hub with radius r2=25cm and connects to a freely hanging mass m2=25 kg. Determine the angular acceleration of...
1. A pulley (radius = 0.20 m) is mounted on a frictionless, horizontal axis. A nearly massless string is wrapped around the pulley and supports a hanging mass of 0.55kg. When released from rest the mass falls with a downward acceleration of 5.1 m/s. What is the moment of inertia of the pulley? (8pts) el (@9
A string is wrapped around a pulley of mass m, radius r and unknown moment of interia. The pulley can rotate freely about its axis without friction. The loose end of the string is attached to a block of mass m. If the magnitude of the angular acceleration of the pulley is 7g/12r what is the moment of interia of the pulley?
A pulley has a rotational inertia i=0.0030kgm^2 and radius r=0.050m . A 0.6kg block hanging from a massless rope hanging over the pulley descends as the cord unwinds without slipping, the magnitude of the blocks acceleration is?