In the diagram below the solid disc (M, r) is rolling on an incline and the pulley is ideal. Find the acceleration of the block (m) and the acceleration of the CM of the disc. Analyze the possibilities of the disc to roll down vs. up the incline.
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In the diagram below the solid disc (M, r) is rolling on an incline and the pulley is ideal. Find the acceleration of the block (m) and the acceleration of the CM of the disc. Analyze the possibilities of the disc to roll down vs. up the incline.
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- A thin, light string is wrapped around the rim of a 4.10 kg, solid, uniform disk (similar to a puck on ice without friction) that is 26.5 cm in diameter. A person pulls (to the right direction) on the string with a constant force of 102.0 N tangent to the disk. The disk is not attached to anything and is free to move and turn. 1) Find the angular acceleration of the disk about its center of mass. Express your answer in radians per second squared. 2) Find the linear acceleration of its center of mass. Express your answer in meters per second squared. 3) If the disk is replaced by a hollow, thin-walled cylinder of the same mass and diameter, what will be the angular acceleration of the disk about its center of mass? Express your answer in radians per second squared. 4) If the disk is replaced by a hollow, thin-walled cylinder of the same mass and diameter, what will be the linear acceleration of its center of mass? Express your answer in meters per second squared.Solution for this problem, please. It involves the use of torque and angular acceleration.A 3 kilogram solid sphere with a radius of 15 centimeters rolls without slipping down a rough incline with a 35 degree angle. If the sphere rolls from rest from a height of 45 centimeters, determine the sphere's translational speed at the bottom of the incline. Also, draw the free body diagram. Also see the attached picture that goes with the problem. Thank you.
- answer the following pleaseA wheel of radius a, mass m, and moment of inertia I is pulled along a horizontal surface by application of a horizontal force F to a rope unwinding from an axle of radius b as shown in the figure. There is a friction force between the wheel and the surface such that the wheel rolls without slipping. a. What is the linear acceleration of the wheel? b. Calculate the frictional force that acts on the wheel (Use Newtonian formalism). b aUse the worked example above to help you solve this problem. A merry-go-round modeled as a disk of mass M = 8.50 x 10¹ kg and radius R = 2.30 m is rotating in a horizontal plane about a frictionless vertical axle (see figure). (a) After a student with mass m = 80.0 kg jumps onto the merry-go-round, the system's angular speed decreases to 2.10 rad/s. If the student walks slowly from the edge toward the center, find the angular speed of the system when she reaches a point 0.490 m from the center. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. rad/s (b) Find the change in the system's rotational kinetic energy caused by her movement to the center. X Your response differs from the correct answer by more than 10%. Double check your calculations. J (c) Find the work done on the student as she or= 0.490 m.
- A rope with a negligible mass has two blocks that are suspended over a pulley, m, and M, as shown in the image. The pulley can be considered as a uniform solid cylindrical disk. Draw a free body diagram and explain if the tensions in the two strings equal? Why? Why not? To solve the problem, why can’t I use the system approach and write the equation for M and m at the same time? Please write the equations that will help solve for T1 and T2A rolling ball Context A solid sphere rolls without slipping down an inclined plane. We are looking for the acceleration undergone by the sphere. ( Static friction is involved here ) Information The mass and the radius of the sphere are known.The angle delta of the inclined plane is known. Modelization Creates a model for the linear acceleration of the sphere given known parameters that are relevant. Then test your model with the following values: Mass of the sphere: 1 kg The radius of the sphere: 0.29 m Inclined plane angle: 11 degreesA solid cylinder of radius R rolls without slipping on a horizontal plane. The velocity of its CM is V=2m/s. Then the cylinder rolls uphill, also without slipping. What maximal height h, will the cylinder reach? plz show step by step on how you acquired the formula you are using for this problem!!! Thank You
- find the angular acceleration. Needs Complete typed solution with 100 % accuracy.The swimmer in the figure below propels himself forward by exerting a 138 N backward force on the water with his hand. He experiences a forward reaction force F of magnitude 138 N. Find the magnitude and direction of the torque exerted on the arm by F about an axis through point O. (Let d = 43.0 cm.) magnitude