What is the final velocity of a hoop that rolls without slipping down a 6.00–m–high hill, starting from rest?

Q: A solid ball of mass 6 kg, rolls down a hill that is 9 meters high. What is the rotational KE at the…

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Q: A sphere rolls down a 20 deg incline starting from rest to a height of 50m. how fast will it be…

A: The sphere rolls down 20deg  The height h=50m

Q: A solid cylinder starts from rest and rolls down an incline that is 6.50 m high without slipping.…

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Q: Find the rotational inertia of a sphere rotating about an axis through its center.

A: To obtain the rotational inertia of a sphere about an axis through its centre, the moment of inertia…

Q: A simple pendulum, consisting of a lightweight 25-cm rod and a small 500-g weight, pivots from point…

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Q: A spinning solid disk, rotating with angular velocity w, is put down on a level surface. It slides…

A: Solution: We know that, the moment of inertia of solid disk is given as:I =12mr2where, m is mass and…

Q: A disk and a hoop of the same mass and radius are released at the same time at the top of an…

A: Given: A disk and a hoop of the same mass and radius are released at the same time at the top of an…

Q: A hoop rolls down a 5.25 m high hill without slipping. d=5.25 what is the final speed of the hoop…

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Q: Which will have the greater acceleration rolling down an incline, a hoop or a solid disk?

A: If both have the same shape and size, then the mass of the object does not matter.

Q: Find the moment of force of 30N about an axis of rotation at distance 0.5m from the force.

A: Given Data:- The force is f = 30N The distance of the force from axis of rotation is d = 0.5m.

Q: Sarah has a hollow ball that rolls across the room. If it has a diameter of 4.00 m and a mass of…

A: Moment of inertia of hollow sphere is given asI = 23MR2WhereM=mass of hollow sphereR=radius of…

Q: A basketball with an invitation speed of 7.75 m/s rolls (with slipping) up a slanted sidewalk. How…

A: Write a given values of this question. u=7.75m/sv=0m/s

Q: A ball at rest rolls across a frictionless floor at 12.0 m/s/s. How far will it travel in 8.00 s?

A: In this case, the floor is frictionless.   The ball rolls at the speed of, u=12.0 m/s   The time…

Q: A hoop rolls down a 4.25 m high hill without slipping. -What is the final speed of the hoop, in…

A: height(h)=4.25m g is acceleration due to gravity 9.8 m/s2  m is mass v be speed at bottom conserve…

Q: On a rotating turntable, does rotational speed vary with the distance from the center?

A: Rotational speed of an object rotating around an axis is the number of turns of the object divided…

Q: Can a round object released from rest at the top of a frictionless incline undergo rolling motion?

A: Rolling motion

Q: Whar are the types of Moment of Inertia?

A: There are three types of moment of inertia: Mass moment of inertia Area moment of inertia Polar…

Q: A 140 kg hoop rolls along a horizontal floor so that the hoop’s center of mass has a speed of 0.150…

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Q: A hollow ball rolls along a horizontal surface at 2.5 m/s when it encounters an upward incline. if…

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Q: A solid ball of mass 5 kg, rolls down a hill that is 6 meters high. What is the rotational KE at…

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Q: A solid cylinder rolls up an incline at an angle of 20°. If it starts at the bottom with a speed of…

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Q: A 45.6lbs ball with an initial velocity of 2.36m/s is rolling on rough surface slope and continues…

A: Mass of the ball m=45.56 lb=20.68 kg, initial velocity u=2.36 m/s and acceleration a=0.896 m/s2. The…

Q: A solid cylinder and a hoop of the same radius are rolling down the incline, calculate their…

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Q: So the question is a  hoop rolls without slididng alng the ground with linear velocity of 10 m/s. A…

A: The angular velocity of the roll is, ω=vR The rotational energy of a hoop roll can be given as,…

Q: Given: ASF. A disc with radius r rolls down the hill without slipping (starting from rest). At the…

A: Solution:Form conservation of energy we have:mgh = 12mv2 + 12Iω2⇒mgh = 12mv2 + 12MR22vR⇒mgh = 12mv2…

Q: For F = 51 lb, compute the combined moment of the two forces about (a) point O, (b) point C, (c)…

A: To solve this kind of problem, the forces will be resolved in x and y direction.

Q: What is the speed of the disk after its center has fell by 0.85 m?

A: Explanation and final solution is in next step .

Q: a) Arigid wheel is rotating with is non-constant velocity. Show that the resultant acceleration of…

A: As per guidelines, question (a) is answered. For the remaining question to be answered, post that…

Q: Lara, a 50.0 kg gymnast, swings her 1.5 m long body around a bar by her outstretched arms. What is…

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Q: The step pulleys shown in the figure below are connected by a crossed belt. If the angular…

A: Write the given value of this problem. Angular acceleration(C)=2 rad/s2Distance(d)=180 ftv=240 ft/s

Q: What is the analogue of mass in rotational motion?

A: AnswerMoment of Inertia

Q: advertised to be 200 hp at 6000 rpm. What is the The power output of an automobia ondina torque?

A: GivenPower output of engine, P=200 hpAngular velocity, ω=6000 rpm

Q: If the boy on the bicycle in the preceding problem accelerates from rest to a speed of 10.0 m/s in…

A: Given values-  Change in velocity=dv=vf-vi=10ms-0ms=10ms Time = dt =10 s

Q: A coin rolls on a horizontal plane. What fraction of its total kinetc energy is rotational?

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Q: The rope is strung around a pulley of radius 40 cm and mass 3.0 kg. The block is let go from rest.…

A: Given Data Radius of the pulley is r=40 cm=40 cm×1 m100 cm=0.40 m Mass of the pulley is m=3.0 kg…

Q: A ball of radius r rolls on the inside of a track of radius R A) If the ball starts from rest at…

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Q: Describe about Angular Acceleration as a Vector?

A: Angular acceleration is the value we get after differentiating angular displacement twice with…

Q: A gyroscope has a 0.5-kg disk that spins at 40 rev/s. The center of mass of the disk is 5 cm from a…

A: Given: The mass of the disk is 0.5 kg. The radius of the disk is 10 cm. The angular speed of the…

Q: What is the acceleration at the center of mass of the ball?

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Q: What is the final velocity of a hoop that rolls without slipping down a 5.00-m-high hill, starting…

A:

Q: purnisIf the angular acceleration is found to be 0.2 rad/s?, what is the moment of inertia of the…

A: we have force ,f=0.1N radius, r=15cm mass, m=20kg

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).