A mass m hangs from string wrapped around a pulley of radius R. The pulley has a moment of inertia / and its pivot is frictionless. Because of gravity, the mass accelerates downward, and the pulley rotates. Which has greater magnitude, the string tension Fr or the weight mg? A. Fr= mg B. FT mg M m21
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- 0.31kg cart on a horizontal air track is attached to a string. The string passes over a disk-shaped pulley of mass 0.080kg and radius 0.012m and is pulled vertically downward with a constant force of 1.1N. Find the tension in the string between the pulley and the cart. Find the acceleration of the cart.3. A 50 N ball is rolling down a plane with an incline of 0=35° without slipping as shown. The coefficients of friction of the surfaces are µ.=.44 and µ =.31. What is the friction force exerted by the plane on the ball? 0E15. Two 0.2-kg masses are located at either end of a 1-m long, very light and rigid rod as in the diagram. What is the rota- tional inertia of this system about an axis through the center of the rod?
- Pulley A Pulley B Spring Scale Spring Scale Figure 1 i. Derive an equation for the time ta it takes Pulley A to omplete one revolution. Let IA be the pulley's rotational inertia. Express your answer in terms of Fs, IA, Mp, Rp, and physical constants, as appropriate. B I x? X2 Ω 0 / 10000 Word Limit וכ IIPRINTER VERSION BACK NEXT Chapter 10, Problem 051 GO In the figure, block 1 has mass m, - 488 g, block 2 has mass m, = 551 g, and the pulley is on a frictionless horizontal axle and has radius R = 4.78 cm. When released from rest, block 2 falls 71 9 cm in 5 27 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T, (the tension force on the block 2) and (c) tension T, (the tension force on the block 1)? (d) What is the magnitude of the pulley's angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s. m2 (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number UnitsA CD rotating at angle initial angle rev / min 40, it took sec 20 to stop, how many turns did it make before it stopped? Choose and solve steps a- 6.67 rev b- 41.8 rev c- 13.13 rev d- 80 rev
- a. How fast in revolutions per minute must a centrifuge rotate if a particle 7.0 cm from the axis of rotation is to experience an acceleration of 100000 g's? b. Moment of inertia of a long (one-dimensional) uniform rod of mass M and length L2 through the center of the rod is equal to :a. 1/3 ML2 b. 1/6 ML2 c. 3/8 ML2 d. 2/5 ML2 e. 1/12 ML2A 270-g mass hangs from a string that is wrapped around a pulley, as shown in the figure. The pulley is suspended in such a way that it can rotate freely. When the mass is released, it accelerates toward the floor as the string unwinds. Model the pulley as a uniform solid cylinder of mass 1.00 kg and radius 7.00 cm. Assume that the thread has negligible mass and does not slip or stretch as it unwinds. Determine the magnitude a of the pulley's angular acceleration. rad/s? a = Determine the magnitude of the acceleration a of the descending weight. m/s? Question Source: Freedman College Physics 3e Publisher: Macmillan a =A spherical glass bead of mass M and radius R is releasedfrom rest at the top of an inclined track (angle with thehorizontal) that ends in a curved section of radius r. Theglass bead rolls down the incline without slipping; there isfriction between the ramp and the glass bead. The momentof inertia of the glass bead is I = 2/5 MR2 Draw a force diagram for the glass bead on the ramp.Label all forces clearly Determine the linear acceleration of the marble when it is rolling down the incline. Your answer will be interms of theta and g . Determine the speed of the marble at the lowest point of the incline in terms of H and g.
- 6. A centrifuge in a lab rotates at an angular speed of 6500 rev/min. When switched off it rotates through 60 revolutions before coming to a rest. Find the constant angular acceleration of the centrifuge in rad/s².I need proper explanation with help of free body diagram. Don't give Chatgpt answer. Mechanical engineering To remove a nut from an old rusty bolts, you apply a 100 neutron force to the end of a wrench at a 45° angle to the wrench handle. The distance from the applied force to the axis of the bolt is 25 cm. what is the torque exerted on the bolt and N.m