The 11.6-lb steel cylinder A and the 17.7-lb wooden cart B are at rest in the position shown when the cylinder is given a slight nudge,causing it to roll without sliding along the top surface of the cart. Neglecting friction between the cart and the ground, determine thevelocity of the cart as the cylinder passes through the lowest point of the surface at C.6 in.CBThe velocity of the cart as the cylinder passes through the lowest point of the surface at C is vB=|ft/s←.

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Answered: The 11.6-lb steel cylinder A and the…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 47P: A propeller consists of two blades each 3.0 m in length and mass 120 kg each. The propeller can be...

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A propeller consists of two blades each 3.0 m in length and mass 120 kg each. The propeller can be approximated by a single rod rotating about its center of mass. The propeller starts from rest and rotates up to 1200 rpm in 30 seconds at a constant rate. (a) What is the angular momentum of the propeller at t=10s ; t=20s ? (b) What is the torque on the propeller?
A 4.0-m-diameter playground merry-go-round, with a moment of inertia of 400 kg ⋅ m2, is freely rotating with an angular velocity of 2.0 rad/s. Ryan, whose mass is 80 kg, runs on the ground around the outer edge of the merry-go-round in the opposite direction to its rotation. Still moving, he jumps directly onto the rim of the merry-go-round, bringing it (and himself) to a halt. How fast was Ryan running when he jumped on?A. 2.0 m/sB. 4.0 m/sC. 5.0 m/sD. 7.5 m/sE. 10 m/s
The 350-kg flywheel of a small hoisting engine has a radius of gyration of 600 mm. If the power is cut off when the angular velocity of the flywheel is 100 rpm clockwise, draw an impulse–momentum diagram that can be used to determine the time required for the system to come to rest.
Find the angular momentum of (a) a 16.0-g DVD (considered to be a uniform disk of radius6.00 cm) spinning with an angular speed of 125 rad>s, and (b) a 125-kg motorcycle drivingwith a speed of 8.92 m>s on a circular track of radius 35.7 m.
A door 1.00m wide of mass 15.0 kg, is hinged at one side so that it can rotate without friction about a vertical axis. It is unlatched. A police officer fires a bullet with a mass of 10.0g and a speed of 400m/s into the exact center of the door in a direction perpendicular to the door.(use: the moment of inertia of the rotating door at the hinge, Idoor =1/3Md2) a. What is the initial momentum of the system?b. What is the angular speed of the door just after the bullet embeds itself in the door?
two rockets of masses m1 = 100000kg and m2 = 200000kg are in empty spacde and are connected by a light, 90m long tunnel. they are initially at rest. they simultaneously turn on their engines, which each exert 50,000N of thurst. find the angular velocity of the system after 30 seconds. neglect the mass of the tunnel and size of the rockets.
Sanjay and Ting, each with a mass of 25 kgkg, are riding opposite each other on the edge of a 150 kgkg, 3.0-mm-diameter playground merry-go-round that's rotating at 21 rpmrpm. Each walks straight inward and stops 35 cmcm from the center. Part A What is the new angular velocity, in rpmrpm?
Use the general definition of the moment of inertia, I = gmiri2, to find the moment ofinertia for the dumbbell-shaped object shown in Notice that the axis of rotation goes through the center of the object and points out of the page. In addition, assumethat the masses may be treated as point masses
uniformdisk that can rotate around its center like amerry-go-round. The disk has a radius of2.00 cm and a mass of 20.0 grams and is initiallyat rest. Starting at time t = 0, twoforces are to be applied tangentially to therim as indicated, so that at time t = 1.25 sthe disk has an angular velocity of 250rad/s counterclockwise. Forcehas a magnitude of 0.100 N.Whatis magnitude F2?
A 5.00-kg particle starts from the origin at time zero. Its velocityasa functionoftimeisgivenbyv = (6t 2i+ 2t j) where v is in meters per second and t is in seconds. (a) Find its position vector r as a function of time (b) its acceleration as a function of time,(c) the net force exerted on the particle as a function of time, (d) the net torque about the origin exerted on the particle as a function of time,(e)the angular momentum of the particle as a function of time,(f)the kinetic energy of the particle as a function of time, and (h)the power injected into the system of the particle as a function of time. Hint: (a) v = dr/dt and dr = vdt, r =òvdt (integrate v and get r),(b) a=dv/dt, © F=ma,(d) t = r x F (cross product) (e) L= r x mv(cross product) (f) KE=(1/2)mv2(Square v vector to get v2,i2 =j2 =1),(g) Power = first derivative of KE
A 2.0 kg, 20-cm-diameter turntable rotates at 100 rpm on frictionless bearings. Two 500 g blocks fall from above, hit the turntable simultaneously at opposite ends of a diagonal, and stick. What is the turntable’s angular speed, in rpm, just after this event?
In a game of pool, ball A is rolling without slipping with a velocity V0 as it hits obliquely ball B , which is at rest. Denoting by r the radius of each ball and by μk the coefficient of kinetic friction between a ball and the table, and assuming perfectly elastic impact, determine (a ) the linear and angular velocity of each ball immediately after the impact, (b ) the velocity of ball B after it has started rolling uniformly.

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