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Chapter 11: Q40P (page 323)
Question: A disk with a rotational inertia of 7.00 kg m2rotates like a merry-go-round while undergoing a variable torque given. At time, t = 1.00s its angular momentum is 5.00 kg m2 /swhat its angular momentum is at t =3.00s
Answer
The angular momentum of the disk at t = 3.00 is
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Figure shows three rotating, uniform disks that are coupled by belts. One belt runs around the rims of disks Aand C. Another belt runs around a central hub on disk Aand the rim of disk B. The belts move smoothly without slippage on the rims and hub. Disk Ahas radius R; its hub has radius ; disk Bhas radius ; and disk Chas radius Disks Band Chave the same density (mass per unit volume) and thickness. What is the ratio of the magnitude of the angular momentum of disk Cto that of disk B?
In the instant of Figure, two particles move in an xy plane. Particle P1has mass 6.5kgand speed v1 = 202m/s, and it is at distance d1 = 105mfrom point O. Particle P2has mass 3.1kgand speed v2 = 3.6m/sand it is at distance d2 = 2.8mfrom point O. (a) What is the magnitude of the net angular momentum of the two particles about O? (b) What is the direction of the net angular momentum of the two particles about O?
Question: In Figure, a solid ball rolls smoothly from rest (starting at height H = 6.0 m ) until it leaves the horizontal section at the end of the track, at height h = 2.0 m. How far horizontally from point Adoes the ball hit the floor?
During a jump to his partner, an aerialist is to make a quadruple somersault lasting a time For the first and last quarter-revolution, he is in the extended orientation shown in Figure, with rotational inertiaaround his center of mass (the dot). During the rest of the flight he is in a tight tuck, with rotational inertia.What must be his angular speedv2around his center of mass during the tuck?
Question: At time t, the vector gives the position of a3 .0 kgparticle relative to the origin of ancoordinate system (is in meters and tis in seconds). (a) Find an expression for the torque acting on the particle relative to the origin. (b) Is the magnitude of the particle鈥檚 angular momentum relative to the origin increasing, decreasing, or unchanging?
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