We can use rotating cylinder to store energy in space. Let a 10-meter-long cylinder with diameter 1.0 m has mass 60000 kg. Estimate the kinetic energy it can store when it is rotating in an angular speed 50 rad/s

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 15 kg uniform disk of radius R- 0.25 m has a string wrapped around it, and a m- 3.5 kg weight is…

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Q: 8: A sphere, I= 0.45 kg m' and r= 8 cm, is initially rotating at 22 rad/s. You put your hand on the…

A: Moment of Inertia = I = 0.45 kgm2 Radius = r = 0.08 m Initial angular velocity = ωi=22 rad/s Final…

Q: II. A cockroach of mass m, lies on the rim of a uniform disk of mass M = 4.00 m. that can rotate…

A: (a)  From the angular momentum conservation, Here, Ii, ωi, If and ωf represent the initial moment…

Q: We can use rotating cylinder to store energy in space. Let a 10-meter-long cylinder with diameter…

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Q: A 3.0 x 102 g solid, uniform sphere of radius 1.5 cm is released from rest at the top of a ramp.…

A: Let m and r be the mass and radius of the uniform solid sphere, h1 and h2 be the height of the…

Q: 4) A bicycle racer is going downhill at 11.0 m/s when, to his horror, one of his 2.25 kg wheels…

A: (a) Given: The mass of the cylinder M = 2.25 kg,            The radius of the cylinder R = 0.425 m.…

Q: A 3.7-kg sphere is suspended by a cord that passes over a 1.7-kg pulley of radius 3.4 cm. The cord…

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Q: A mountain-bike has a mass of 12 kg approximately. Each wheel can be considered as a ring, each is…

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Q: 1. Consider a solid cylinder of mass m and radius r and a solid sphere of mass M and radius R are…

A: A) To calculate the Moment of Inertia of solid sphere about its diameter ,first we take the moment…

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

A: Solution:

Q: 1. A person opens a 7.25 kg door by applying a force of 125 N perpendicular to it at a point 0.85 m…

A: Express the relation for the torque causing the rotation of the door. τ=rFsinθ Here, τ is the…

Q: Consider a basketball player spinning a ball on the tip of a finger. If such a player performs 1.93…

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Q: A uniform disk of mass 381 kg and radius 0.18 m is mounted on frictionless bearings so it can rotate…

A: As per guidelines , only 3 subparts are solved here. Given, mass of disc , m = 381 kg radius , r =…

Q: 5. A sphere and a cylinder have the same radius and the same mass. They start from rest at the top…

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Q: There are two concentric hoops each with total mass 1kg. (The hoops are connected together by a…

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Q: energy

A: A can is densely filled with food and rolls across the floor......(given) It is safe to assume this…

Q: 3 A force is applied to the rim of a disk that can rotate like a merry-go-round, so as to change its…

A: From work-energy theorem:

Q: A disc‐shaped grindstone with a mass of 50 kg and a diameter of 0.52m rotates on frictionless…

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Q: A thin ring of radius R is rotating with an initial angular velocity ωo about an axis passing…

A: Initially ring has angular velocity and no translational velocity. When it is gently lowered on the…

Q: 1. A person opens a 7.25 kg door by applying a force of 12.5N perpendicular to it at a point 0.85 m…

A: 1) moment of inertia of door  I = ML2/3 = (7.25×1.152/3)  I = 3.2 kg m/s2  Now,  angular…

Q: NE Chapter 10, Problem 062 Z Your answer is partially correct. Try again. In the figure, three 0.07…

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Q: solid cylinder is rolling along a horizontal surface. It has a speed of 4.50 m/sm/s when it comes to…

A: Given values:- Speed,(Vcm)=4.5 m/sec ----(1)  Angle of inclination,(θ)=40 0 ----(2) Acceleration due…

Q: An automobile wheel has a mass of 17 kg and a diameter of 0.25 m. What is the total kinetic energy…

A: KEtotal=KElinear+KErot=12mv2+12Iω2=12mv2+12mr22vr2=12mv2+14mv2=34mv2

Q: A hollow cylinder (hoop), a solid cylinder (disk), and a solid sphere, each of mass M and radius R,…

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Q: Earth

A: When an object rotates about some axis with some angular speed ω, then it has some rotational…

Q: A piece of putty is initially located at point A on the rim of a grinding wheel rotating at constant…

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Q: A 3.7-kg sphere is suspended by a cord that passes over a 1.7-kg pulley of radius 3.4 cm. The cord…

A:

Q: The thin uniform rod in the figure has length 7.0 m and can pivot about a horizontal, frictionless…

A: The gravitational work done is the function of the distance. Calculate the distance from the…

Q: level requires about 3.2 × 107 J of energy. Suppose we tried to store this much energy in a…

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Q: a lawnmower has a flat, rod-shaped steel blade that rotates about its center. The mass of the blade…

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Q: We wrap a light, nonstretching cable around a 7.00 kg solid cylinder with diameter of 40.0 cm. The…

A: Given Data: Mass of solid cylinder, Mc=7 kg Cylinder diameter, D=40 cm =0.4 m Cylinder radius,…

Q: The 1100-kg mass of a car includes four tires, each of mass (including wheels) 35 kg and diameter…

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Q: W Use conservation of energy to determine the angular speed of the spool shown in Figure P8.52 after…

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Q: A 3.3-kg sphere is suspended by a cord that passes over a 1.6-kg pulley of radius 3.5 cm. The cord…

A: A.)f=ma=f=kx add both masses=(3.3+1.6)kg = 4.9kg f=4.9×9.81= 48.21N Now, 48.21=86x x=.5606m…

Q: Your grandmother enjoys creating pottery as a hobby. She uses a potter’s wheel, which is a stone…

A: Radius, R = 0.5 mMass, M = 100 kgTime, t = 6 sNormal force, FN = 70 NInitial angular velocity, ωi =…

Q: he turntable in a microwave oven has a moment of inertia of 0.040 kg⋅m2 and is rotating once every…

A: Given, Moment of inertia of turntable in a microwave oven , I = 0.040 kgm2 Angular speed ,ω= 2π…

Q: A small 10.0 g bug stands at one end of a thin uniform bar that is initially at rest on a smooth…

A: mbug = 0.01 kgmbar = 0.05 kgLbar = 1 mvbug = 0.2 m/s The moment of inertia of the bar will be I =…

Q: A 100 g disk with a diameter of 10 cm rotates about an axis through its center of mass with 0.2 J of…

A: Rotational energy can be calculated, EK=12mv2

Q: A bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance dd from the…

A: Given that:- Radius of wheel=R

Q: Can you please answer question 6 and show all do the steps

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Q: A merry-go-round on a playground consists of a horizontal solid disk with a weight of 795 N and a…

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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.