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please show all your work SECTION 3 - Newtonian Dynamics 3 (a) A rope (that can...
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 small block of mass m2 hangs from a massless rope wrapped around the inner cylinder of a pulley with inner radius of R2. The moment of inertia of the entire pulley is I = 4m2(R2)2. Another block m1= m2 is connected to the outer cylinder of the pulley via a horizontal massless rope wrapped around the outer cylinder of the pulley with radius R1=2R2. The coefficient of kinetic friction between the block and the horizontal surface is μk =...
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 thin, massless rope is wrapped around a cylinder (I=MR^2/2) with radius .4m. The rope is attached to a hanging bag of stuff (m=.1kg). If the stuff accelerates downward at 1.0m/s^2 what is the mass of the wheel? Why is tension not the weight of the stuff?
MENARIO #3 A brick of mass m is hanging from a ribbon of negligible mass that is wrapped around a disk with a meter of 1m. The disk is free to rotate without friction around a central axis. 27) (SCENARIO #3) When released from rest the brick takes 1.2 seconds to fall a distance of 2m. During this time the net force on the brick is 20N downwards. What is the mass of the brick? 28) (SCENARIO #3) What is...
Problem 5: Torque A one-piece cylinder is shaped as shown in the figure, with a core section protruding from the larger drum. The inner cylinder has a mass of 3 kg and the outer cylinder has a mass of 8 kg. The cylinder is free to rotate about the central axis shown in the drawing A rope wrapped around the drum, which has radius R1 = 0.3 m, exerts a force T1 = 50 N to the right on the cylinder....
A box of mass m = 10.0 kg is attached to a rope. The other end of the rope is wrapped around a pulley with a radius of 15.0 cm. When you release the box, it begins to fall and the rope around the pulley begins to unwind, causing the pulley to rotate. As the box falls, the rope does not slip as it unwinds from the pulley. If the box is traveling at a speed of 2.50 m/s after...
A 20.0kg box is suspended by a very light rope wrapped around a solid disc of 0.5m in diameter. The mass of the disc is 10kg. The disc pivots on a frictionless axle through its center. The box is then released from rest and falls 15m to the floor. Moment of inertia of a solid disc I=1/2_MR^2. a) Draw free body diagram for the box and the disc. b) Determine the tension in the rope while the box is falling....
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...
59 The figure shows a tabletop experiment that can be used to determine an unknown moment of inertia. A rotating platform of radius R has a string wrapped around it. The string is threaded over a pulley and down to a hanging weight of mass m. The mass is released from rest, and its downward acceleration a (a > 0) is measured. Find the total moment of inertia I of the platform plus the object sitting on top of it....