10. An Atwood machine has two hanging masses, m, and m2, attached with a massless string over a pulley. If the pulley spins, rather than allowing the string to change direction without spinning, has mass M3, radius R, and moment of inertia equal to that of a disk, what is the tension force down on each side of the pulley? 3 m,
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- The Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. The pulley can be approximated by a uniform disk with mass m, = 6.13 kg and 17.9 kg radius r, = 0.150 m. The hanging masses are m and mg = 12.9 kg. Calculate the magnitude of the masses' acceleration a and the tension in the left and right ends of the rope, Ti and TR, respectively. m/s? a = N Ti = m. MR TRQUESTION 3: The radius of the flywheel given in the figure is 600 mm. Mass 144 The rotation (inertia) radius of the flywheel, which is kg, is 450 mm. To a mass of 18 kg Body A is hung on a rope wrapped around the flywheel. released in the (still) state. Body A 1.8 meters down Find the acceleration of the block when it moves correctly. Note: Neglect friction.An Atwood's machine consists of blocks of masses m₁ = 13.0 kg and m₂ = 24.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M = 7.60 kg and radius r = 0.200 m. The block of mass m., is allowed to drop, and the cord turns the pulley without slipping. M T2 Q (a) Why must the tension 7₂ be greater than the tension 7₁? This answer has not been graded yet. (b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of a.) m/s² (c) Find the tensions T, and T₂. T₁ = T2₂ =
- A mass m1 (3.0 kg) is connected by a light string that passes over a pulley of mass M ( 4.0 kg) to a mass m2 (2.0 kg) sliding on a frictionless incline as shown in the figure. There is no slippage between the string and the pulley. The pulley has a radius of 25 cm and a moment of inertia of 2 MR2. The angle is 60 degrees, then what is the Ma Scceleration of m1? m1A block of mass 2 kg slides down an inclined plane at an angle of 45° with a massless tether attached to a pulley with mass 3 kg and radius 0.7 m at the top of the incline (see the following figure). The pulley can be approximated as a disk. The coefficient of kinetic friction on the plane is 0.2. What is the acceleration of the block (in m/s²)? (Enter the magnitude.) 3.59 45° x m/s²A 1.0-kg mass hangs on a rope wrapped around a frictionless disk pulley of mass 5 kg and radius 0.5 m. What is the acceleration of the mass? (The moment of inertia of the pulley is 1/2MR2.)
- A turntable 46.0 cm in diameter diameter starts from rest, and rotates at 68.0 rpm at its first complete revoļution with constant angular acceleration. If it maintains the same acceleration, a) what is the rotational speed at time 34.0 seconds? b) what is the tangential speed of a point 10 cm from the edge of the turntable at time 34.0 seconds? Enter answer "O" in the answer box. Submit in the corresponding folder (or email) your solution by 3:50 pm, include a sketch/drawing of the rotating wheel, and a step- by-step solution.Two buckets of mass ?1=17.5 kg and ?2=15.1 kg are attached to the ends of a massless rope which passes over a pulley with a mass of ?p=8.53 kg and a radius of ?p=0.450 m. Assume that the rope does not slip on the pulley, and that the pulley rotates without friction. The buckets are released from rest and begin to move. If the larger bucket is a distance ?0=2.05 m above the ground when it is released, with what speed ? will it hit the ground?A 170-kg merry-go-round of radius 2.10 m is rotated by pulling a rope that is wrapped around its edge. What is the magnitude of the force (assume it to be constant) on the rope needed to bring the merry- go-round from rest to an angular speed of 0.400 rev/s in 3.00 s? (The moment of inertia of merry-go- round is 1/2MR2).
- An Atwood's machine consists of blocks of masses m,- 13.0 kg and m₂ - 16.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M-7.80 kg and radius r=0.200 m. The block of mass m₂ is allowed to drop, and the cord turns the pulley without slipping. 7₁ (a) Why must the tension T₂ be greater than the tension T₂? This answer has not been graded yet (b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of a.) m/s (c) Find the tensions T₁ and T2 T₂-A uniform disk of radius R is free to rotate about its central axis. A mass m is hung vertically from the disk at a distance 2/5 R from the axis. R 2R/5 m What is the magnitude of the force F (the solid-lined arrow in the figure) which must be applied to prevent the disk from rotating? Omg O 3mg/5 O2mg/5 O 5mg/2A cat is sitting at the edge of a merry-go-round at the distance 2.5 m from the axis of rotation. What is the maximum the angular velocity of the merry-go-round so that the cat can hold on the top it if the coefficient of static friction is 0.12.