A gyroscope is a top-like toy consisting of a heavy ring attached by light spokes to a central axle. The axle and ring are free to turn on bearings. To get the gyroscope spinning, a 30-cm-long string is wrapped around the 2.0-mm-diameter axle, then pulled with a constant force of 5.0 N. If the ring’s diameter is 5.0 cm and its mass is 30 g, at what rate is it spinning, in rpm, once the string is completely unwound?

Q: diameter wheel, consisting of a rim and six spokes, is constructed from a thin, rigid plastic…

A: GivenDiameter of wheel, d=43 cm=0.43 mNumber of spokes=6Linear mass density, λ=25 g/cmHeight of hill…

Q: A particle rotates with constant speed in a circle. Let t be the net torque on the particle and F…

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Q: A 1.0 kg ball and a 2.0 kg ball are connected by a 1.1-m-long rigid, massless rod. The rod is…

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Q: The engine of the bus applies a torque of 350.4 N · m to a wheel of radius 0.456 m.  Since the wheel…

A: solution as

Q: In the figure here, a cylinder having a mass of 2.8 kg can rotate about its central axis through…

A: Given: The mass of the cylinder is 2.8 kg.            The forces are F1=9.7 N, F2=8.3 N, F3=1.8 N…

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 boat exerts a pull of 4000 N on its hawser which is wrapped about a capstan on the dock. If the…

A:

Q: A massless string is wrapped around a solid 7.6-kg cylinder of diameter 24 cm that can rotate freely…

A: mass of cylinder (M) = 7.6 kg diameter of cylinder = 24 cm radius of cylinder = 12 cm R = 0.12 m…

Q: A light string can support a stationary hanging load of 22.0 kg before breaking. An object of mass m…

A: The maximum tension in the string is given by,

Q: A 21 kg door is 212 cm tall and 92.5 cm wide. What is the door's rotational inertia about its…

A: Momentum of inertia about its hinges=Ma23

Q: A light string can support a stationary hanging load of 23.4 kg before breaking. An object of mass…

A: Given data-  A light string can support a stationary hanging load of mass M=23.4 kg before breaking.…

Q: A metal ball with 0.25 kg of mass and 0.075 m of radius rolled without slipping on a horizontal…

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Q: In the figure here, a cylinder having a mass of 1.5 kg can rotate about its central axis through…

A:

Q: A 29 g ball rolls around a 69-cm-diameter L-shaped track at 83 rpm. What is the magnitude of the net…

A: Solution: Calculate the angular velocity of the ball. ω=2πN60 Here, ω is the angular velocity, and N…

Q: kg ball and a 2.0 kg ball are connected by a 0.90-m-long rigid, massless rod. The rod is rotating cw…

A: Givenm1=1 kgm2=2 kgd=0.9 mω=25 rpm=25×2π60 rad/s

Q: A square plastic disk is placed on a turn table to be rotated around an axis that goes through its…

A: Side of the disk r = 0.56 m Force applied at one corner of disk F = 24.4 N Torque τ = ? Formula…

Q: A mass m is tied to another mass 4m such that the rope goes over a solid cylindrical pulley and the…

A:

Q: ionary. Then, the pulley is allowed to rotate as the block falls. Assum

A: Given: To find the values using given figure is calculated as:   As per policy, here solved only…

Q: meter stick has a fixed axis of rotation at 50 m. A 4 kg mass is located at the 10 m marker, a 5 kg…

A: Length of the meter stick is L = 50 m For the system to be in equilibrium, the net torque of the…

Q: A stone of mass 800.0 g is fastened to a string of length 75.0 cm which would break when the tension…

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Q: A 1.0 kg ball and a 2.0 kg ball are connected by a 0.90-m-long rigid, massless rod. The rod is…

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Q: A 24.8 kg door is 220 cm tall and 91 cm wide. What is the door's rotational inertia about its…

A: Given data: Mass of the door, m=24.8 kg Width of the door, W=91 cm = 0.91 m Door rotational inertia…

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

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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: A thin hoop has a mass of 8.25kg and a radius of 0.750m. It rolls (without slipping) down a ramp…

A: Given value--- mass = 8.25 kg. radius = 0.75 m. vertical height = 0.75 m. We have to find--- what…

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: A circular disk with a radius of 0.38 m is subject to 2 tangentially applied forces. The disc is…

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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: A long piece of lumber is pivoted to rotate about a perpendicular axis. Ropes are attached to the…

A: Given that:θ=72°Mass of wood, m=0.75 kgLength of wood, L=2.30 mMass of cylinder, M=0.800 kgDiameter,…

Q: A square plastic disk is placed on a turn table to be rotated around an axis that goes through its…

A: solution is given as

Q: A 5.4-kg ball is tied to the end of a string.  The ball is then swung at a constant angular velocity…

A: Data provided:  Mass of the ball (m) = 5.4 kg Constant angular velocity (ω) = 14 rad/s Radius (r) =…

Q: A firm wants to determine the amount of frictional torque in their current line of grindstones, so…

A: Solution: Given data ω0=700 rev/min mass = 1.1 kg r=7.70 cm=7.7×10-2 m (a) Angular acceleration of…

Q: A 280-N sphere 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at 31°…

A: weight of the sphere mg =280 N Radius of the sphere r =0.2 m Angle of inclination θ =310 Height of…

Q: s linear acceleration? (b)

A:

Q: propeller is modeled as five identical uniform rods extending radially from its axis. The length and…

A: Length l = 0.705 m Mass m = 2.91 kg  Angular speed = 553 rpm                 = 553 × 2π /60…

Q: A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The…

A: Length of rod = 0.873 m  Mass of rod = 1.11 kg  Initial angular velocity = 0 rad/sec  Final angular…

Q: A block of mass m, = 2.45 kg and a block of mass m, = 5.65 kg are connected by a massless string…

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Q: A wrench 60 cm long is attached to a nut and bolt. You exert a 40 N force on the wrench. What is the…

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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: A 65 kg student is in a car traveling at 25 m/s on a hill of radius 110 m. When the car is at the…

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Q: A 0.75 kg block is resting on a table. At the end of the table is a pulley. A 1.5 kg mass hangs over…

A: