A 200-kg, 2.0-m-radius, merry-go-round in the shape of a flat, uniform, circular disk parallel to level ground is rotating at 1.2 cycles/second about an axis through its center of mass and perpendicular to the ground. A 50-kg boy jumps onto the edge of the merry-go round and lands at a fixed point. What is the angular velocity of the merry-go-round after the boy lands on it? Hint:  = (1/2)mR2

Q: On a frictionless table, a m = 0.70 kg glob of clay strikes a uniform M = 0.82 kg bar…

A:

Q: A 0.005 00-kg bullet traveling horizontally with a speed of 1.00 × 103 m/s enters an 18.0-kg door,…

A: a) The bullet will have angular momentum. The angular momentum is the product of mass and speed. As…

Q: A 4.4 m diameter carousel is spinning freely with an angular velocity of 0.60 rad/s. Its complete…

A: Moment of Inertia of carousel , I1 = 1850 kgm2 . Initial angular velocity , ω1 = 0.6 rad /s Diameter…

Q: A small body of mass m is fired with velocity ~ vi towards a solid cylinder of mass M, radius R and…

A: (a) The collision is completely inelastic. As the net torque on the system formed by the mass m and…

Q: A spherical ball of mass M and radius Rrolls without slipping on a level surface with its center of…

A: Given : vcm = √35 m/s Isphere = 2/5 MR2

Q: A 3.7-m-diameter merry-go-round is rotating freely with an angular velocity of 0.90 rad/s . Its…

A: Given, diameter of the merry go round, d = 3.7 m angular velocity, ω = 0.90 rads mass of the people…

Q: A small particle of mass 0.82 kg is being whirled in a horizontal circle at the end of a 1.2 m long…

A:

Q: A disk of mass M is spinning freely at 6.73 rad/s when a second identical disk, initially not…

A:

Q: Four particles, one of each of the four corners of a square with length L = 1.9 m, are connected by…

A: Let m1, m2, m3, and m4 be the masses of the 4 particles.Write the given values of question.

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

A: Given data: Diameter of merry-go-round is, d=3.0 m. Mass of merry-go-round is, M=250 kg. Initial…

Q: A uniform, 4.0-kg, square, solid wooden gate 1.5 m on each side hangs vertically from a frictionless…

A: Mass of the wooden gate is M = 4.0 kg Length of the gate is L = 1.5 m Mass of raven is m = 1.1 kg…

Q: A puck of mass m = 80.0 g and radius r = 4.00 cm glides across an air table at a speed v = 1.5 m/s.…

A: The given values are, m=80.0 g=0.080 kgr=4.00 cm=0.04 mv=1.5 m/sM=120 g=0.120 kgR=6.00 cm=0.06 mV=0…

Q: A uniform 2-kg solid disk of radius R=0.4m is free to rotate on a frictionless horizontal axle…

A: the angular velocityω of the disk.given,mass of solid disk(mdisk)=2 kgRadius(R)=0.4 mmass of…

Q: A light rigid rod of length ℓ = 1.00 m rotates about an axis perpendicular to its length and through…

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 sanding disk with rotational inertia 5.2 x 103 kg-m² is attached to an electric drill whose motor…

A:

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

A:

Q: Each of the following objects has a radius of 0.176 m and a mass of 2.03 kg, and each rotates about…

A: Given Data: Radius is R=0.176 m Mass is m=2.03 kg Angular speed is w=41.9 rad/s

Q: A hoop, a solid cylinder, a solid sphere, and a thin spherical shell each have the same mass of 2.58…

A: The angular momentum of the given objects can be found as, Here, I and ω represent the object’s…

Q: In the figure, a 8.21 g bullet is fired into a 0.169 kg block attached to the end of a 0.590 m…

A: a) The expression for the rotational inertia of block-rod-bullet system is,

Q: The uniform rod (length 0.573 m) in the figure rotates in the plane of the figure about an axis…

A: Rotational Inertia= Irod=0.362 kg. m2 Angular speed(ωrod)=3.34 rad/s' Length of the rod (r)=0.573 m…

Q: A ball of mass m = 2.30 kg and speed V¡ = 1.50 m/s collides with a uniform solid cylinder (radius R…

A: Write a given values of this question. m=2.30kgvi=1.50m/sR=0500mM=6.00kg

Q: The figure shows an overhead view of a 2.90 kg plastic rod of length 1.20 m on a table. One end of…

A: Given Data: The mass of a plastic rod is, mrod=2.90 kg The length of a plastic rod is, lrod=1.20 m…

Q: In the figure, a 8.01 g bullet is fired into a 0.112 kg block attached to the end of a 0.952 m…

A:

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: A 4.1-m-diameter merry-go-round is rotating freely with an angular velocity of 0.75 rad/s. Its total…

A: Given, Diameter of merry go round , D = 4.1m Radius of merry go round , r = 2.05 m Angular velocity…

Q: What is the magnitude of the angular momentum of the 2.50 kg, 5.60-cm-diameter rotating disk in the…

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: In Figure, three particles of mass m=500 g are fastened to three rods of length d=12 cm and…

A:

Q: A puck of mass m1=80.0 g and radius r1= 4 cm glides across an air table at a speed of v= 1.50 m/s .…

A: The mass m=80.0g  The radius =4cm  To find the angular momentum of the system and the angular speed…

Q: A 4.0-m-diameter playground merry-go-round, with a moment of inertia of 400 kg ⋅ m2, is freely…

A: Given:- r= D/2= 2 m I= 400 kg.m2 wi= 2 rad/s mryan= 80 kg

Q: Lily is a 50 kg diver. At the instant of takeoff, her angular momentum about her longitudinal axis…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts (1, 2,…

Q: A 200-kg, 2.0-m-radius, merry-go-round in the shape of a flat, uniform, circular disk parallel to…

A: mass of merry go round (m) = 200 kg radius of merry go round (r)  = 2 m initial angular speed (ω) =…

Q: Aunilom, 4.5 kg, square, solid wooden gate 2.0 m on each side hangs verically from a frictilonios…

A: Mass of gate = 4.5kg Side of gate = 2m Mass of raven = 1.1kg Initial velocity of raven = 5m/s Final…

Q: In the figure, a 8.56 g bullet is fired into a 0.258 kg block attached to the end of a 0.709 m…

A: Given that the mass of bullet m = 8.56g…

Q: While you are on an archaeological dig in Egypt, you observe a scarab beetle of mass m lies on the…

A:

Q: At time t, 7 = 9.30t2 î - ( 10.0t + 8.10t2) j gives the position of a 3.0 kg particle relative to…

A:

Q: In the figure, a 7.90 g bullet is fired into a 0.430 kg block attached to the end of a 0.140 m…

A:

Q: A 0.00400 kg bullet traveling horizontally with speed 1.00 x 10 m/s strikes a 16.6 kg door,…

A: (given)               Mass of bullet = 0.00400 kg             Speed of bullet = 1×103 m/s…

Q: 5) A disk of mass m = 75.0 g and radius r = 4.20 cm glides across an air table at a speed v = 1.5…

A:

Q: A sanding disk with rotational inertia 1.2 * 10-3 kg m2 is attached to an electric drill whose…

A:

Q: A 5.0 kgkg, 68-cmcm-diameter cylinder in (Figure 1) rotates on an axle passing through one edge. The…

A: Given data: Mass m = 5.0 kg Diameter D = 68 cm

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 2.0 kg particle is traveling counterclockwise in a circular path with a radius of 1.0m with a…

A: Scenario: When particle undergoes rotational motion about a fixed point, angular momentum of the…

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: At time t, 7 = 8.00t2 i - (4.70t + 7.00t2) j gives the position of a 3.0 kg particle relative to the…

A:

Q: 2. A bullet of mass m = 2.0 g is moving horizontally with a speed of 500.0 m/s. The bullet strikes…

A: Given: m=2×10-3kg             M=3.2kg             R=0.5m             v=500m/s             F=250N (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.