At what height h above its center G should a billiard ball of radius r be struck horizontally by a cue if the ball is to start rolling without sliding?

Q: In the figure, a solid cylinder of radius 17 cm and mass 11 kg starts from rest and rolls without…

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Q: A tennis ball, starting from rest, rolls down the hill in the drawing. At the end of the hill the…

A: From the question, it is given that- Initial height of ball: h = 1.8 m Angle of projectile: θ = 35o…

Q: (a) A wind turbine for generating electricity rotates clockwise at the rate of 17.0 rpm (revolutions…

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Q: A 10 kg solid sphere of radius 20cm is initially placed 5m above the ground on top of a 45 degree…

A: Given Mass of the sphere is m=10 kg Radius of the sphere is r=20 cm=0.20 m Height of the sphere…

Q: A solid spherical ball starts from rest at an initial height of 1.3 m, and rolls down an incline.…

A: Using conservation of energy Intial energy=final energy

Q: In the Figure, a solid cylinder of radius 10 cm and mass 10 kg starts from rest and rolls without…

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Q: In the figure, a solid cylinder of radius 22 cm and mass 14 kg starts from rest and rolls without…

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Q: A turntable with a mass of 12 kg and a radius of 1.8 meters spins at a constant angular velocity of…

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Q: A car travelling at 108 km/h . Given the the tires on the car have radius of 40 cm , what is their…

A: Given data: The speed of the car is V=108 km/h. The radius of the tire of the car is R=40 cm.…

Q: The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4…

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Q: On an old 45 rpm record, the beginning track is 8 cm from the center and the end track is 5 cm from…

A: Given:-  On an old 45 rpm record,  The beginning track is 8 cm from the center.  The end track is 5…

Q: A turntable with a mass of 12 kg and a radius of 1.8 meters spins at a constant angular velocity of…

A: Given, Mass of turntable, m=12kg Radius, R=1.8m Angular velocity, ω=140rpm Mass of brick, M=3kg…

Q: An ultracentrifuge is a scientific instrument that spins samples at high accelerations to cause…

A: The radial acceleration, ar, of a point rotating with a radius, r, around an axis with an angular…

Q: A disk rotates about an axis through its center. Point A is located on its rim and point B is…

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Q: Sphere with radius R Sphere with radius R (a) (b) A bullet of mass m-2.0g is moving horizontally…

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Q: A 200 kg flywheel is at rest when a constant couple of 300 Nm is applied on it. After completing 560…

A: From the work-energy theorem, we know that change in kinetic energy is the work done.to solve the…

Q: A 61 cm diameter wheel accelerates uniformly about its center from 120 rpm to 280 rpm in 4.0 a.…

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Q: The blade of a steel cutter is rotating at a speed of 600 rev/min. If the radius of the blade is 7.5…

A: The given data are: N=600 rev/minr=7.5 cm=0.075 m Here, N and r are the revolutions per minute and…

Q: he precession angular velocity of a gyroscope is 1.1 rad/s. If the mass of the rotating disk is 0.5…

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Q: Two athletes run on a circular track with a radius of 400 m, the first running at 8 m/s…

A: Let they intersect again after time t s of first intersection. Their relative speed = 8-(-4)=12 m/s…

Q: A solid sphere is released from the top of a ramp that is at a height h, = 1.85 m. It rolls down the…

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Q: small, spherical asteroid of mass 6500000 kg and radius 7.6 m is stationary. The unsuspecting space…

A: Given, Mass of asteroid , M = 6500000 kgRadius, R = 7.6 mMass of car, m = 1320 kgSpeed of Tesla car,…

Q: A model of a helicopter rotor has four blades, each of length 3.6 m from the central shaft to the…

A: Given Data :  Length, r = 3.6 mAngular velcoity ω = 570 revmin1 rev = 2π rad1 min = 60 sω = 570×2π…

Q: Neutron stars are extremely dense objects that are formed from the remnants of supernova explosions.…

A: The matters on the surface of the neutron start to remain at the same position, the centrifugal…

Q: A disk rotates about an axis through its center. Point A is located on its rim and point B is…

A: From uniform circular motion we know that:- v= rw Where:- v= tangential velocity w= angular velocity…

Q: A solid spherical ball starts from rest at an initial height of 1.7 m, and rolls down an incline.…

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Q: A pool ball is struck directly in its center so that it begins to slide across the table without…

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Q: The dung beetle is known as one of the strongest animals for its size, often forming balls of dung…

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Q: In the figure, a solid cylinder of radius 16 cm and mass 16 kg starts from rest and rolls without…

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Q: In the figure, a solid cylinder of radius 5.5 cm and mass 14 kg starts from rest and rolls without…

A: Given:-  A solid cylinder of the radius is r = 5.5 cm The mass of the solid cylinder is m = 14 kg…

Q: A solid spherical ball starts from rest at an initial height of 1.9 m, and rolls down an incline.…

A: Given.   Mass of sphere is 2.5 kg. Radius is 0.232 m. Initial height is 1.9 m MOI is 2mr²/5 about…

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).