Suppose that each force shown above is exerted for the same time interval
Compare the magnitudes of the final
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- A block of mass m is connected by a string, which is wound on a solid cylinder of mass M and radius R. The block is released to fall under gravity. The axle of the cylinder is fixed and smooth. Find the speed of the block as a function of the height h descended by the block. Image is attached. Please show all work.arrow_forwardFour identical particles of mass mmm are mounted at equal intervals on a thin rod of length ℓ and mass M, with one mass at each end of the rod. Part A If the system is rotated with angular velocity ω about an axis perpendicular to the rod through one of the end masses, determine the kinetic energy of the system. Express your answer in terms of the variables m, M, l, and ωωomega. 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Give your answer by entering a number, specified to an appropriate number of significant figures, in the empty box below.arrow_forwardYou will be studying velocity and acceleration of a point undergoing uniform circular motion. This lab is based on the theory presented in Chapter 8 of the Knight (5th edition) textbook. Centripetal acceleration The point P is on a disc rotating counter-clockwise at constant angular speed with period T. Consider the instant when P is at its "right-most” position, and using the coordinate system shown (Fig. 1). C is the centre of the disc. Question 1: In terms of î and ĵ, what is the direction of the velocity of P? Show this direction in Fig 1. Question 2: In terms of î and ĵ, what is the direction of the acceleration of P? Show this direction in Fig 1. Question 3: What is the angular speed (w) of P, in terms of T? Question 4: What is the magnitude of the velocity of P, in terms of (possibly) Rdisc, Rp and w? Question 5: What is the magnitude of the acceleration of P, in terms of (possibly) Rdisc, Rp and w? Question 6: Fill in the theoretical values of the x and y components of velocity…arrow_forwardAn amusing trick is to press a finger down on a marble on a horizontal table top, in such a way that the marble is projected along the table with an initial linear speed v and an initial backward rotational speed ω about a horizontal axis perpendicular to v. The coefficient of sliding friction between marble and top is constant. The marble has radius R. If the marble skids to a stop and then starts returning toward its initial position, with a final constant speed of 0.620v, what was ω in terms of v and R? 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Please use the "Display response" button to check you entered the answer you expect. g↓ Answer: ///// I L Display response are of motionarrow_forwardA small disc A placed on a frictionless tabletop is connected to a small protrusion B on the tabletop with the help of an almost inextensible elastic cord of relaxed length l. There is a trap C in the table at distance n = 0.5 times of I from the protrusion. Initially the disc, the protrusion and the trap are in a line and the cord is straight and relaxed as shown in the top view of the setup. At what angle with the line AC must the disc be projected along the tabletop so that it enters the trap? Diameter of the protrusion is negligible as compared to the length of the thread.arrow_forwardD T= 20m b= 60m C E B A roller coaster car of mass m = 200 kg is released from rest at the top of a 60 m high hill (position-A) and rolls with negligible friction down the hill, through a circular loop of radius 20 m (positions-B, C, and D) and along a horizontal track (to position-E). Determine the speed of the car at position D. O a 20 m/s Ob. 28 m/s Oc Zero Od. 34.3 m/sarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning