A 150 g ball and a 250 g ball are connected by a 37-cm-long, massless, rigid rod. The balls rotate about their center of mass at 150 rpm. What is the speed of the 150 g ball?

Q: What is the moment of inertia of a solid disk of mass 100 g and radius 25 cm about an axis through…

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Q: The ropes shown are each wrapped around a cylinder, and the two cylinders are fastened together. The…

A: If the masses and radii of small cylinder and large cylinder is m1 r1, and m2, r2 respectively, The…

Q: how long will it take to rotate 360 degrees if an object is moving at constant angular speed of 250…

A: Given: Constant angular speed = 250 RPM

Q: A DVD is spinning at 650.133 rpm. What is the size of the angular momentum of the DVD if it has a…

A: Angular velocity , ω = 650.133 rpm = 68.1 rad/s Circumference , C = 38.97 cm = 0.39 m Mass , M =…

Q: 17. A 248 cm bar with mass 692 g rotates with an angular speed of 138 rpm, as shown in the figure.…

A: Given data The length of the bar is given as L = 248 cm. The mass of the bar is M = 692 g. The…

Q: A solid sphere of radius 20 cm and a mass of 3 Kg is rolling without slipping from the inclined…

A: Given : Radius=r=20 cm=0.20 m Mass=m=3 kg Height=h=3.5 m I=2MR2/5

Q: What is the moment of Inertia of a solid disk of mass 100 g and radius 25 cm about an axis through…

A: Given data:  A solid disk  Mass (m) = 100 g Radius (r) = 25 cm Required: The momentum of inertia (I)…

Q: A 750 g hollow ball (spherical shell) is rolling along a horizontal floor at 8 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: A child with a mass of 40 kg is riding on a merry-go-round. If the child has a speed of 3 m/s and is…

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Q: A 20.0 kg hollow cylinder (I = MR2) has a diameter of 50.0 cm. The cylinder is rolling down a hill…

A: if the object is rolling then the relation b/w its angular velocity (ø) and linear velocity (v) is…

Q: A solid sphere, with a mass of 5 kg and a radius of 3 m, rolls with constant speed along a…

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Q: A 5 kg ball with a 0.4 meter radius is rolling on a horizontal surface at 3 m/s. The rotational…

A: This question is based on law of conservation of energy and pure rolling motion.

Q: The following figure shows the cross section of a cylinder of radius 4.4 m rotating about its axis…

A: Given: The radius of cylinder, r = 4.4 m The angular velocity, w = 8.3 rad/s

Q: (c) A 0.119 kg ball is stuck 0.81 m from the center of a disk spinning at 58 rpm. What is its…

A: In this question, we have been given that  Mass of the Ball (m) = 0.119 Kg Distance from Centre (r)…

Q: A 1.1-kg 20-cm-diameter solid sphere is rotating about its diameter at 73 rev/min. (a) What is its…

A: a)Total kinetic energy is the sum of rotational and translational kinetic energies.

Q: The angular speed of a rotating disk is given by the equation: o = (2rad/s) + (3rad/s2)t What is the…

A: Given data: Angular velocity as function of time  ω = (2rad/s) + (3rad/s2)t Required: Angular…

Q: The following figure shows the cross section of a cylinder of radius 8.8 m rotating about its axis…

A: Given, Radius of cylinder  r= 8.8m Angular velocity    w= 4 rad/s We have,  Velocity at a point V =…

Q: (a) What is the final velocity, in m/s, of a hoop that rolls without slipping down a 6.30 m high…

A: Given Initial vertical height is y0=6.30 m Final vertical height is y=0  Acceleration due to gravity…

Q: 4.5 cm diameter uniform solid sphere has mass 110 g and is spinning at 1000 rpm. What’s its angular…

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Q: A 5 kg disk with a radius of 20 cm is spinning at 20 rpm. A clump of clay is dropped on the edge of…

A: Given Data:- Mass of the disk is md=5 kg Radius of the disk is r=20 cm=20 cm×1 m100 cm=0.20 m…

Q: Flywheels are solid, uniform disks that spin around an axis running through their center of mass and…

A: Write the expression for the kinetic energy of rotation. Here, E represents the energy, R…

Q: A barbell consists of two small balls, each with mass 400 grams (0.4 kg), at the ends of a very low…

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Q: What is the final velocity, in m/s, of a hoop that rolls without slipping down a 5.60 m high hill,…

A: (a)According to conservation of energy, the potential energy of hoop is converted into kinetic…

Q: A spinning disk with a mass of 12 kg and a radius of 2 m has an angular velocity of 3 rad/s. What is…

A: Solution:          Rotational kinetic energy of a disc            K.∈=12I ω2…

Q: A skater has a moment of inertia 5 kg.m2 (kilogram, meter squared) when her arms are outstretched…

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Q: A pulley wheel that is 8.0 cm in diameter has a 5.6-m-long cord wrapped around its periphery.…

A: In this question it is given that diameter of the wheel is d = 8.0 cm = 8 *10 -2 m also Radius of…

Q: Which torque applied to a disk with radius 7.0 cm for 3.5 s will produce an angular momentum of 25…

A: The final angular velocity is ω=ω0+αt=0+αt

Q: A disk is rotating about a vertical axis of rotation with an initial angular velocity. There are two…

A: According to the relation between linear velocity and angular velocity, we have,  v = r ω ω = vr…

Q: A 4.3 m diameter merry-go-round with a mass of 227 kg is spinning at 35 rev/min. A student runs…

A: Let us consider the Radius of the merry-go-around be (rm) in meter with a mass of (Mm) in kilogram…

Q: *15. D The drawing shows a device that can be used to measure the speed of a bullet. The device…

A: Given data The distance between the two rotating disks is: d = 0.850 m The angular speed of the…

Q: The disk rolls without slipping between two moving plates as shown in the figure. What is the…

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Q: A skater has a moment of inertia 5 kg.m2 (kilogram, meter squared) when her arms are outstretched…

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Q: Calculate the angular momentum of a 220 kg motorcycle traveling at 45 m/s, and traveling around a…

A: Given : Mass of motorcycle = 220 kg Speed of motor cycle = 45 m/s Radius of circular curve = 600 m…

Q: A 3.0 kg particle moves in a circle of radius 2.0 m with an angular momentum of 30.0 kg-m³/s. What…

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Q: A thin meter stick of mass 150 g rotates around an axis perpendicular to the stick’s long axis at an…

A: Given: The stick of mass = 150 g An angular velocity = 240 rev/min Need to find the angular momentum…

Q: A skater starts the jump moving forward as shown, leaps into the air, and turns one-and-a-half…

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Q: Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg105 kg and a…

A: Given, mass of merry-go-round M = 105kg, mass of children m1=22kg, m2=28kg, m3=33kg, initial angular…

Q: A pulley of 8.0 cm radius, on a motor, is turning at 40 rev/s and slows down to 10 rev/s in 4.0 s.…

A: (a)The angular acceleration is given by, α=ωf-ωiΔt Here, ωf is the final angular velocity, ωi is the…

Q: hat is the angular momentum of a .4kg hula-hoop with a diameter of 1.2m while it rotates at 7 r/s?

A: Given data as per question mass= .4kg diameter  =  1.2m

Q: A child pushes a 1.5 kg solid cylinder of radius 0.40 m causing it to roll on the ground at 8.8 m/s.…

A: mass of solid cylinder = 1.5 kg Radius = 0.4 m v = 8.8 m/s

Q: A solid, uniform, perfectly spherical rock (I = 2/5 MR?) starts from rest and rolls down a 25 [m]…

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Q: 20. A disk with radius 50.0 [m] rotates at a rate of 1.50 [rad/s]. What is the tangential speed at…

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Q: An object of 2 kg is moving in a circle of radius 4 m and speed 0.5 m/s. What is the angular…

A: The angular momentum is, L=mvr

Q: The power required to rotate an object and overcome friction is P = –bw, where w is the angular…

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Q: Two astronauts, each having a mass M, are connected by a rope of length d having negligible mass.…

A: c) The new angular momentum, by conservation of angular momentum in this case will be,

Q: A 3.0-m-diameter merry-go-round with a mass of 250 kg is spinning at 20 rpm. Steven runs tangent to…

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Q: 5 kg ball with a 0.4 meter radius is rolling on a horizontal surface at 3 m/s. The rotational…

A: m= 5 kg r= 0.4 m v= 3 m/s maximum height achieved= H inertia= I

Q: 10   The diameter of the main propeller of a helicopter is 6 m and its rotation speed is 600 rpm.…

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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.