A uniform cylinder of mass 3.0 kg and radius 10.0 cm has a rope wrapped around...
A bucket of water of mass 14.4 kg is suspended by a rope wrapped around a windlass, that is a solid cylinder with diameter 0.350 m with mass 13.0 kg . The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls a distance 10.0 m to the water. You can ignore the weight of the rope. Take the free fall acceleration to be g = 9.80...
6. A 25-kg solid cylinder with a radius of 11 cm, initially at rest, is free to rotate about the axis of the cylinder. A rope of negligible mass is wrapped around it and pulled with a force of 17 N. Assuming that the rope does not slip, determine the following a) The torque exerted on the cylinder by the rope b) The angular acceleration of the cylinder c) The angular speed of the cylinder after 0.5 s
A string is wrapped around a uniform solid cylinder of radius 4.60 cm, as shown in the figure. The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block has mass 19.6 kg, and the cylinder has mass 12.3 kg. a) Find the magnitude α of the angular acceleration of the cylinder as the block descends. b)What is the acceleration of the block? c)What is the tension in the string?
A 2.7-kg 12-cm-radius cylinder, initially at rest, is free to rotate about the axis of the cylinder. A rope of negligible mass is wrapped around it and pulled with a force of 18 N. (a) Find the magnitude of the torque exerted by the rope. N · m (b) Find the angular acceleration of the cylinder. rad/s2 (c) Find the angular velocity of the cylinder at t = 0.70 s. rad/s
A 12.0 kg object is attached to a cord that is wrapped around a wheel of radius 10.0 cm. The acceleration of the object down the frictionless incline is measured to be 2.00 m/s2. Assuming the axis of the wheel to be frictionless, determine a) the tension in the rope, b) the moment of inertia of the wheel, and c) the angular speed of the wheel 2.00 s after it begins rotating, starting from rest. A 12.0 kg object is...
A rope of negligible mass is wrapped around a 225-kg solid cylinder of radius 0.400 m. The cylinder is suspended several meters off the ground with its axis oriented horizontally, and turns on that axis without friction. (a) If a 75.0-kg man takes hold of the free end of the rope and falls under the force of gravity, what is his acceleration? m/s2 (b) What is the angular acceleration of the cylinder? rad/s2
A rope is wrapped around the rim of a large uniform solid disk of mass 305 kg and radius 2.10 m. The horizontal disk is made to rotate by pulling on the rope with a constant force of 195 N. If the disk starts from rest, what is its angular speed in rev/s at the end of 2.65 s?
A rope is wrapped around the rim of a large uniform solid disk of mass 225 kg and radius 2.50 m. The horizontal disk is made to rotate by pulling on the rope with a constant force of 195 N. If the disk starts from rest, what is its angular speed in rev/s at the end of 1.65 s?
A rope is wrapped around the rim of a large uniform solid disk of mass 295 kg and radius 2.40 m. The horizontal disk is made to rotate by pulling on the rope with a constant force of 195 N. If the disk starts from rest what is its angular speed in rev/s at the end of 1.95 s?
A rope is wrapped around the rim of a large uniform solid disk of mass 315 kg and radius 1.60 m. The horizontal disk is made to rotate by pulling on the rope with a constant force of 195 N. If the disk starts from rest what is its angular speed in rev/s at the end of 2.95 s?