78. Weights are gradually added to a pan until a wheel of mass M and radius R is pulled over an obstacle of height d, as shown below. What is the minimum mass of the weights plus the pan needed to accomplish this? M R d
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- A 2.0 kg cat (not shown) is on the outer radius (R2) of a ring that can rotate about its center like a merry-go-round. R1=0.80 m R2=0.40 m and the ring's mass is 8.00 kg. The ring is originally rotating at 13.2 rad/s. By how much does the cat increase the kinetic energy of the cat-ring system if the cat crawls to the inner radius (R1).Weights are gradually added to a pan until a wheel of mass M and radius R is pulled over an obstacle of height h, as shown below. What is the minimum mass of the weights plus the pan needed to accomplish this? R F hTwo people start at the same place and walk around a circular lake in opposite directions. One has an angular speed of 2.56 x 10-3 rad/s, while the other has an angular speed of 7.95 x 10-3 rad/s. How long will it be before they meet? AL Number Î Start Units 0₂ End
- a bucket of water with a mass of 25 kilograms is lifted from a well by a rope which is wound around a cylinder with a radius of 0.10 meters. A 0.50 meter crank is attached to the cylinder so that it wraps the rope around the cylinder. what is the minimum force that must be applied to the crank to lift the water bucket ?A child pushes a 1.5 kg solid cylinder of radius 0.40 m causing it to roll on the ground at 8.8 m/s. The cylinder reaches a hill and rolls up the hill before coming to a stop. His mother, having recently taken a physics class in a community college determines the height reached by the cylinder. The height reached by the cylinder is a. 3.7 m b. 1.2 m c. 4.2 m d. 5.9 mIn our class model, wind is flowing along the X axis and torque is generated in the Y axis, with torque measurements in the other axes being near 0. What would happen in reality if the torque in the X axis were large, even larger than in the Y axis? (select only one) The turbine would spin really fast and produce more energy O The turbine would not spin at all The wind could tip over the turbine O The turbine would spin backwards 1or hoth 2 a nd 2
- Multiple-Concept Example 7 deals with the concepts that are important in this problem. A penny is placed at the outer edge of a disk (radius = 0.168 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.57 s. Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk. μs = Number Type your answer here Units Choose your answer hereAn old vinyl record is a thin plastic disk of radius 0.25 m and mass 126 g. It is freely rotating at 45 rev/min. You are able to stop the record from rotating in 6 s by pressing your finer against the rim and exerting a radially directed force of 9 N. (Recommendation: If you don't know what a vinyl record is, please do a Google search for an image to help your understanding.) What is the coefficient of kinetic frictions between the record and your finger??Two blocks are connected to a rope, and the rope is hung over a pulley connected to the ceiling, as shown in the figure below. 1721 Mo i The masses of the blocks are m₁ = 16.0 kg and m₂ = 11.5 kg, the mass of the pulley is M = 5.00 kg, and the radius of the pulley is R = 0.100 m. Block m₂ is initially on the floor, and block m₁ is initially 4.20 m above the floor when it is released from rest. The pulley's axis has negligible friction. The mass of the rope is small enough to be ignored, and the rope does not slip on the pulley, nor does it stretch. (a) How much time (in s) does it take block m, to hit the floor after being released? At₁ S (b) How would your answer to part (a) change if the mass of the pulley were neglected? (Enter the time, in seconds, it takes block m, to hit the floor if the mass of the pulley were neglected.) At₂
- Calculate rotational kinetic energy.A bowling ball of mass M and radius R rolls without slipping down a ramp with angle b; a) In terms of the variables given (and g) what is its linear acceleration? b) In terms of the variables given, what is the force of friction? c) In terms of m, g, R, b, and L, how fast is it rotating when it has rolled a distance L? acm-x Raz M В1. We return to the Atwood machine from last term - a machine consisting of a pulley, a string, and a system of masses. We will continue to assume a massless string, but we will relax the assumption that the pulley is massless and frictionless (see section 7.4 of the text). Consider a cylindrical pulley of radius R and mass M. Two masses m, < m2 are attached by a massless string. As the pulley turns, friction in the axle exerts a torque of magnitude t. If the blocks are released from rest, how long will it take for m2 to hit the floor? R M m2 m1 a. Establish a coordinate system and draw a free body diagram for the two blocks, list the knowns and unknowns. (See sections 1.7 and 5.7 of the text on how to draw a correct free body diagram.) b. Assume the pulley is a rigid body. Draw an extended free body diagram for the pulley. An extended diagram, often called a torque diagram, shows the point of application of the forces. On your diagram, label the axis of rotation, the forces which act…