A solid cylinder 0.30 m in diameter and weighing 180N has a rope around it as shown. If the cylinder is released from rest and allowed to fall find the linear acceleration and the tension in the rope. Determine also the velocity at the center of the cylinder after it has fallen 1.5m.

Q: A rounded stone of mass 3.0 kg and radius 0.08 m starts from rest at the top of a ramp, inclined…

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Q: For this question consider a spherical shell that has a radius R = 2.91 m, and a mass M = 0.85 kg. A…

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Q: One end of a cord is fixed and asmall 0.500-kg object is attached to theother end, where it swings…

A: Given that           v =8.0 m/s           r =2.0 m           θ= 20 deg           m =0.50 kg

Q: A car starts from rest and accelerates 0.800 m/s2 to the right for 20.0 s.  (The tires do not slip.)…

A: Given,  a = 0.8 m/s2  t = 20 sec  r = 0.330 m  Let the distance travelled by the car be S We will…

Q: From information on the endsheets of this book, compute, for a point located on the surface of the…

A: Radius of earth at equator R = 6370 km = 6.37 x 106 m Period of rotation T = 24 hours

Q: A stone with a mass of 0.5 kg is tied to a string 1.2 m long and is whirled in a vertical circle. If…

A: It is given that m=0.5 kgr=1.2 mT=20 N

Q: A point on a rotating turntable 20.0 cm from the center speeds up at a constant rate from rest to a…

A: The relation between the angular velocity and the linear velocity is given by, Here, r represents…

Q: On a midway ride called The Round Up, participants climb into a cylindrical apparatus and stand…

A: mass of rider, m = 60.0 kg radius of round up ride, r = 8.0 m time period of ride, t = 4.0 s.

Q: A block weighing 100 lbs is placed on a rotating platform. The coefficient of friction between the…

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Q: A disk 6.00 cm in radius rotates at a constant rate of 98.0 rev/s about its central axis. (a)…

A: Given:  radius of disc, r = 6 cm = 0.06 m  frequency of rotation, f = 98 rev/s  distance from the…

Q: If the distal end of a golf club is 1.85 m from the axis of rotation. It completes a downswing in…

A: Given, the distal end of a golf club is 1.85 m from the axis of rotation  let L=1.85 m completes a…

Q: An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is its angular…

A: Given,Initial rpm, Ni = 0 rpmFinal rpm, Nf = 100,000 rpmTime, t = 2 min = 120 secPoint distance from…

Q: For this question consider a cylindrical shell that has a radius R = 4.6 m, and a mass M = 4.35 kg.…

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Q: A carosel at the local carnival rotates once every 45 seconds. (a) What is the linear velocity of an…

A: Given:Time,t=45 sNow,A)The radius and time period to obtain the linear velocity of the outer horse…

Q: A horizontal platform with a diameter of 6 m revolves about its center of 20 rpm. Find the…

A: Given in question- Diameter(D) = 6m                                 Angular velocity(ω) = 20 rpm To…

Q: At point on a rotating turntable 20.0cm from the center speeds up at a constant rate from the rest…

A: Given: r=20 cm=0.2 m t=1 s vi=0 m/svf=0.800 m/s to find: (a) radial acceleration (b)tangential…

Q: An ultracentrifuge accelerates from rest to 100,000 rpm in 3.50 min. (a)What is its angular…

A: SOlution: Given that n = 100000 rpm t = 3.5 min

Q: A sphere 0.30 m in diameter, a solid circular cylinder 0.30 m in diameter and a hollow circular…

A: In this question we compare kinetic energies and potential  energy at initial and bottom of incline…

Q: A 0.20 kg yo-yo attached to a 0.60 m string is swung in a circle in the horizontal plane.  Find the…

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Q: A 40 kg box is attatched to a heavy pully with a mass of 8 kg and radius of 20 cm (To be treated as…

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Q: A flywheel is rotating at an angular velocity of 100 rad/s. A brake is applied to the flywheel and…

A: Given Data The initial angular velocity of flywheel is:ωo=100 rad/s The angular velocitry after…

Q: A pulley having a 5.0-cm radius is turning at 30 rev/s about its central axis. It is slowed down…

A: Informations given : Radius of the Pulley  = 5.0  cm   Initial Angular velocity  = w1 = 30 rev/s…

Q: A centrifuge will be used to give astronauts a gravity “spin-up” for one hour per day while on Mars.…

A: Given a centrifuge that runs for for t'=1hr =60min=3600s  per day. Given initially the centrifuge…

Q: The period of a stone swung in a horizontal circle on a 2.50-m radius is 1.20 s. (a) What is its…

A: Given data: The period of a stone swung in a horizontal circle is, T= 1.20 sec The radius of the…

Q: A vertical bar AB rotates with constant angular velocity w. A light non-stretchable chain of length…

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Q: A car travels around a horizontal curve of a radius of 85.0 m with a constant velocity of 50.0 km/h.…

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Q: A hollow cylinder, with an initial velocity of 4.00 m/s rolls up a ramp that makes an angle of 25.0…

A: Let the cylinder rolls up to height h. Apply the energy conservation equation between the bottom and…