93.3 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.51 rad/s. A monkey drops a 9.65 kg bunch of bananas vertically onto the platform. They hit the platform at 4/5 of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 21.3 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.75 m.

Q: A uniform thin rod of length 0.105 m and mass 7.73 kg can rotate in a horizontal plane about a…

A: Given quantities: length of the rod L= 0.105 m mass of the rod M = 7.73 kg mass of the bullet m =…

Q: A uniform thin rod of length 0.29 m and mass 4.0 kg can rotate in a horizontal plane about a…

A: The axis of rotation is in the middle of the rod r = 0.145 m m = 0.0035 kg, θ = 60 deg, M = 4.0 kg,…

Q: A ball is swung in a circle over the Cheshire Cat’s head before vanishing. If the ball has a mass of…

A: mass , m=0.500 kg radius of circle,r=1.00 m angular velocity,ω=10.0 rad/s

Q: As part of a carnival game, a m, = 0.578 kg ball is thrown at a stack of 25.3 cm tall, m, = 0.443 kg…

A:

Q: As part of a carnival game, a m, = 0.503 kg ball is thrown at a stack of 22.8 cm tall, m, = 0.363 kg…

A: Given that, mb=0.503 kgmo=0.363 kg, ω=2.03 rad/svb,i=11.6 m/s, L=22.8 cmvb,f=3.35 m/s, r=16 cm…

Q: A bullet B  is fired horizontally into the center G of the target plate with a mass of 50 kg. Before…

A:

Q: Two 2.00 kg balls are attached to the ends of a thin rod of length 50.0 cm and negligible mass.The…

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Q: A 4.2 m diameter merry go round is rotating freely with an angular velocity of 0.8 rad/s. If its…

A:

Q: A turntable has a moment of inertia of 3.00´ 10-2 kg×m2 and spins freely on a frictionless bearing…

A:

Q: A uniform thin rod of length 0.48 m and mass 3.5 kg can rotate in a horizontal plane about a…

A: Given, Length of the rod, L = 0.48 mmass of the rod, M = 3.5 kgmass of bullet, m = 3.2 gθ =…

Q: A uniform thin rod of length 0.100 m and mass 4.20 kg can rotate in a horizontal plane about a…

A: Given :- length of rod(l) = 0.100 m mass of rod (M) = 4.20 Kg mass of bullet = 3.00 g = 3 *10-3 Kg…

Q: A playgorund carousel is free to rotate about its center on frictionless bearings, and air…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A uniform thin rod of length 0.72 m and mass 4.1 kg can rotate in a horizontal plane about a…

A:

Q: A solid disk with a moment of inertia of 24 kg m2² is spinning at 40.0 rpm. A small object is…

A:

Q: A phonograph turntable has a moment of inertia of 2.5 10-2 kg-m2 and spins freely on a frictionless…

A: Given : Moment of Inertia of the turn table, I = 2.5x10-2 kg-m2 Initial angular velocity, ωi = 33.3…

Q: A physics teacher on a spinning chair has a moment of inertia of 4.5 kg m^2 with his arm…

A: Given Data: The moment of inertia of the physics teacher when his arms are outstretched is: Io=4.5…

Q: A uniform thin rod of length 0.200 m and mass 5.00 kg can rotate in a horizontal plane about a…

A:

Q: A uniform thin rod of length 0.600 m and mass 3.50 kg can rotate in a horizontal plane about a…

A:

Q: A uniform thin rod of length 0.300 m and mass 3.10 kg can rotate in a horizontal plane about a…

A: Given, Length of rod L = 0.300 m Mass of road mr  = 3.10 Kg Mass of bullet mb = 3 g Angle θ=60∘…

Q: A light rigid rod 1.00 m in length joins two particles, with masses 4.00 kg and 3.00 kg, at its…

A: Solution: Given that length L = 1 m m1 = 4 kg m2 = 3 kg v = 7.5 m/s

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

A:

Q: s part of a carnival game, a mp = 0.578 kg ball is thrown at a stack of 17.3 cm tall, m, = 0.343 kg…

A:

Q: A uniform thin rod of length 0.45 m and mass 4.2 kg can rotate in a horizontal plane about a…

A:

Q: A uniform stick 1.4 m long with a total mass of 290 g is pivoted at its center. A 3.6-g bullet is…

A: Given, Length of stick , L = 1.4 m Mass of stick ,M = 290 g = 0.290 kg Mass of bullet ,m = 0.0036 kg…

Q: A uniform thin rod of length 0.48 m and mass 3.5 kg can rotate in a horizontal plane about a…

A: Given data: The length of rod is l=0.48 m. The mass of rod is M=3.5 kg. The mass of bullet is m=3.2…

Q: As part of a carnival game, a m, = 0.553 kg ball is thrown at a stack of 17.3 cm tall, m, = 0.363 kg…

A:

Q: As part of a carnival game, a mb = 0.453 kg ball is thrown at a stack of 15.8 cm tall, mo = 0.383 kg…

A:

Q: A 97.9 kg97.9 kg horizontal circular platform rotates freely with no friction about its center at an…

A:

Q: A playgorund carousel is free to rotate about its center on frictionless bearings, and air…

A:

Q: A merry-go-round with a moment of inertia equal to 1260kg m² and a radius of 2.5 m rotates with…

A: Moment of inertia of merry go round= 1260 kg m2 Radius = 2.5 m  Initial angular speed = 1.7 rad/sec…

Q: A solid disk [mass = 4.39 and radius 0.559 m) is rotating at 19.34 rad/sec.  A large fly (0.993 kg)…

A:

Q: A sanding disk with rotational inertia 5.0 x 10 kg-m? is attached to an electric drill whose motor…

A: rotational inertia =  I = 5 X 10-3 Kg-m2 torque = 33 N-m

Q: 2. A 1.50-kg particle moves in the xy plane with a velocity of y = (4.20i – 3.60j )m/ s. Determine…

A: m = 1.50 kya v = 4.20i - 3.60j m/s r = 1.50i +2.20j m To calculate angular Momentum L

Q: A 10 kg particle moves in the xy plane with a velocity of v = (3.2 î-6.1 j) m/s. Determine the…

A: Given : m = 10 kg v = 3.2i - 6.1j r = 3i + 2.2j

Q: A solid cylinder of mass 4 kg and radius 2 m rotates with constant angular velocity of 5 rad/s about…

A: Given: mass of cylinder, m = 4 kg radius, R = 2 m angular velocity, ω = 5 rad/s

Q: A disk with moment of inertia l rotates about a frictionless,vertical axle with angular speed w, = 6…

A:

Q: A bullet B  is fired horizontally into the center G of the target plate with a mass of 50 kg. Before…

A:

Q: Consider a dumbbell consisting of a light rod of length 2 m with a 5 kg monkey clinging to each end.…

A: Given data : Length of dumbbell rod is, l=2 m. Mass of monkey is, m=5 kg. Initial angular speed of…

Q: Question 2 Consider the system of particles that are connected by ngid rods of negligible mass If…

A:

Q: A playground merry-go-round of radius R = 1.80 m has a moment of inertia of / = 290 kgm² and is…

A: Given data, Moment of inertia I1=290 kgm2 Radius R=1.8 m Initial angular speed ω1=14 rev/min Mass…

Q: A 97.5 kg97.5 kg horizontal circular platform rotates freely with no friction about its center at an…

A:

Q: A 3.8-mm-diameter merry-go-round is rotating freely with an angular velocity of 0.80 rad/s. Its…

A: given, mass of people = 61 kg number of people =4 diameter of the  merry-go-round = 3.8 mm radius =…

Q: A particle whose mass is 2 kg moves in the xy plane with a constant speed of 3 m/s in the…

A:

Q: As part of a carnival game, a m = 0.528 kg ball is thrown at a stack of 24.8 cm tall, mo = 0.383 kg…

A:

Q: A physics student with a moment of inertia of 0.600 kg·m2 stands on a perfectly massless,…

A: The initial moment of inertia is, Ii=0.6 kgm2 The final moment of inertia is, If=20.28 kgm2=0.56…

Q: a uniform thin rod of length 0.500 m and mass 4.00 kg can rotate in a horizontal plane about a…

A: Using the law of conservation of angular momentum,

Q: A 10.40 kg solid sphere with a 30.00 cm radius is initially at rest on a surface with friction. It…

A: Given:- The mass of the solid sphere m = 10.40 kg  The radius of the sphere r= 30.0 cm = 0.30 m  The…

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.