metal hoop with a diameter of 10 cm is released from rest on top of an inclined plane with a height of 40 cm and rolls down the plane. What is the speed of the hoop when it reaches the end of the plane?

Q: Two masses ma=1kg and mp=5.4kg are connected by a rope that hangs over a pulley as shown in the…

A: M=15 kg  R=0.62 mma=1 kgmb=5.4 kgh=8.5 mIcm=12MR2Equation of motion of ma isTa-mag=maa…

Q: DISPLACEMENT, VELOCITY AND ACCELERATION 19. A boy from rest started jogging with an acceleration of…

A: Ques: 19. A boy from rest started jogging with an acceleration of 2 m/s2 from t=0 to t=10s. The boy…

Q: A 240 N sphere of 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at an…

A: Given Weight of the sphere W = 240 N Radius of the sphere r = 0.20 m Length of the ramp L = 6.0 m…

Q: A disk rotates around a fixed axis at its center with an angular velocity of 300 rad/s when it…

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Q: A marble rolls down the track and around a loop-the-loop of radius 0.9 m. The marble has mass 90 g…

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Q: A solid sphere, a thin spherical shell, and a solid cylinder each have a radius of 3 cm and a mass…

A: We know that the potential energy is given by  U=mgh here m=mas g=acceleration due to gravity…

Q: A solid cylinder of radius 0.35 m is released from rest from a height of 1.8 m and rolls down the…

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Q: In the figure, a solid cylinder of radius 22 cm and mass 16 kg starts from rest and rolls without…

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Q: A uniform solid sphere is rolling without slipping along a horizontal surface with a speed of 1.36…

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Q: The mass of a hoop of radius 1.2 m is 6.7 kg. It rolls without slipping across a horizontal surface…

A: A) As per the work-energy theorem. Here, ΔK with subscript T and R represents the change in the…

Q: A solid ball of mass 0.2 kg and radius 1.5 cm starts from rest then rolls without slipping down a…

A: mass = 0.2 kg r = 1.5 cm angle = 33 degree v at bottom = 2.5 m/sLet mass = m

Q: A solid ball of mass 0.3 kg and radius 1.1 cm starts from rest then rolls without slipping down a…

A: PEtop=KEtrans+KErotbottommgh=12mv2+12Iω2=12mv2+1225mr2vr2h=7v210g

Q: A radian is all of the following EXCEPT   A dimensionless quantity   The ratio of

A: Radian is dimensionless quantity. Radian is ratio of arc length over radius. The unit of angular…

Q: The angular velocity of a merry-go-round is increased from 0.43 rad/s to 1.5 rad/s with a constant…

A: Given,     Initial angular velocity ω1=0.43 rad/s      Final angular velocity ω2=1.5 rad/s     Time…

Q: A battery-driven Percy engine goes around a track (radius 27 cm) in 67 seconds. What is its angular…

A: Given: The radius is R=27 cm. The time taken by engine is t=67 s.   (a) The expression to…

Q: A solid spherical ball with a mass 1.51 kg and radius 0.40 m rolls without slipping down an incline…

A: mgh=12mv2+12Iω2     gh=12mv2+1225mr2vr2       v=107gh

Q: How many times will the flywheel frequency increase during 5 s if an accelerating moment of force…

A: Moment of Inertia The moment of inertia of a rigid body is defined as the sum of the product of the…

Q: A disk that has a radius of r and mass of m is released from rest at the top of a 7 m tall ramp.…

A: Given that:- Height of ramp=H=7m

Q: A uniform, solid cylinder of radius 3.00 cm and mass 3.00 kg starts from rest at the top of an…

A: Radius =3cm Mass= 3kg L= 2m  .θ = 25° To find = cylinder speed at the bottom of the ramp

Q: A barrel of mass radius 0.5 m begins rolling without slipping down a ramp that is elevated 1 m above…

A:

Q: A solid sphere of mass 1 kg and radius = 0.1 m (I = MR2/2) rolls down an inclined plane of height =…

A: The expression for the solid speed of the sphere,

Q: A marble rolls down the track and around a loop-the-loop of radius 0.2 m. The marble has mass 59 g…

A: Given, mass of the marble, m=59 g radius of the marble, r=1.5 cm Radius of the loop, R=0.2 m

Q: What is the instantaneous velocity of the top of the rolling cylinder? What is the angular speed of…

A: Given: Mass of a solid cylinder disk, m=1.4kg Radius, r=8.5cm Speed, v=15cm/s

Q: Malar is playing with a toy car track set and has made a vetical loop she wants to send a 150-gram…

A: Given of car =150 g Height of which she releases radius o loop =20 cm

Q: An object is traveling on a circle with a diameter of 10 cm. If in 20 seconds a central angle of 1/3…

A: Diameter = 10 cm  Time ( ∆t ) = 20 second  Change in angular displacement ( ∆w ) = 1/3   Radius = 5…

Q: Consider a 150g puck on a string moving in a 1m radius circle on an air hockey table (no friction)…

A: Solution:

Q: A hoop and a disk, both of 0.72- m radius and 2.0- kg mass, are released from the top of an inclined…

A:

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 uniform solid 5.25-kg cylinder is released from rest and rolls without slipping down an inclined…

A: Given:- A uniform solid cylinder of mass=5.25 kg  it rolls without slipping down an inclined plane…

Q: A solid cylindrical disk whose mass is 1.4kg and radius is 8.5cm, rolls across a horizontal table at…

A: The instantaneous velocity of the top of the rolling cylinder is calculated as, Here, vcom…

Q: A 650 g hollow ball (spherical shell) is rolling along a horizontal floor at 4 m/s for a distance of…

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Q: A 700 g hollow ball (spherical shell) is rolling along a horizontal floor at 4 m/s for a distance of…

A: Consider the diagram for the position of the spherical shell, that is the hollow ball, on the…

Q: At a particular instant an object at (r=2m and θ = 0 ) is moving such that its radial speed is 3 m/s…

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Q: A metal hoop with 0.21 kg of mass and 0.060 m of radius rolled without slipping on a horizontal…

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Q: broomstick (thin rod) has a length of 1.75meters. The broomstick is held vertically with one end in…

A: height of upper end of broomstick  Potential energy stored in upper end  let v be the speed of…

Q: A shaft 15 cm in diameter is to be turned on a lathe with a surface linear speed of 180 m/min . What…

A: Diameter, D = 15 cm  Linear speed, v = 180 m/min = 3 m/s

Q: What is the kinetic energy of a 123 cm long thin uniform rod with a mass of 458 g that is rotating…

A: The rod is rotating about its center of mass so it has only rotational kinetic energy.  Kinetic…

Q: A solid cylinder starts from rest at the top of a 23 degree incline. What is the speed (in m/s) of…

A:

Q: A 17.5 kg thin spherical shell with radius 1.64 m, is rotating at 152 rev/min. It must be brought to…

A: Given data The mass of the thin spherical shell is M = 17.5 kg The radius of the shell is R = 1.64 m…

Q: A bike (including wheels) and rider have a combined mass of 68.5 kg and the two wheels of the bike…

A: Detailed solution is given below:

Q: A rolling wheel of diameter of 68 cm slows down uniformly from 8.4 m/s to rest over a distance of…

A: Solution: Given: 1 m = 100 cm d = diameter of rolling wheel = 68 cm = 0.68 m u = initial linear…

Q: A thin rod of mass m and length L is released from rest from a nearly upright position, let’s say θ…

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Q: A disk ( m=7kg ) has two masses hanging off of it as shown. What is the angular acceleration of the

A:

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.