A 5 kg hoop (I=MR2) with a radius of 2 m is placed at the top of a hill that is 8 m high. There is just enough friction of the hoop to roll when it is released from rest. What is the hoop's translational (traveling) speed at the bottom of the hill? Please use 10 m/s2 for the magnitude of the acceleration due to gravity.

Q: A 25 kg child is riding an animal on a spinning carousel. Her lion seat is on the outer edge, a…

A:

Q: A particle attached to a string of length r=3m, is forced to move in a circle with constant speed.…

A:

Q: A space station is constructed in the shape of a hollow ring of mass 4.65 x 104 kg. Members of the…

A: Mass , m = 4.65 x 104 kg  Radius , r = 115 m Thrust = 130 N To find = Time interval for which the…

Q: A solid sphere is released from the top of a ramp that is at a height h1 = 2.20 m. It rolls down the…

A: moment of inertia of solid sphere  I=25mR2 since no dissipative forces we can conserve energy…

Q: A ring which is initially placed at the height h (as measured from its center), rolls down an…

A: Given data: Height of the ring  =h radius of the ring  = a  mass of the ring = m

Q: There is a CD-rom that's spinning a CD at 2,000 rpm. There is a bit of dirt, weighing 0.220 g,…

A:

Q: A solid sphere is released from the top of a ramp that is at a height h, = 1.90 m. It rolls down the…

A:

Q: Part (d) Determine an equation for the angular acceleration of the ride as a function of time, a(t).…

A:

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 star has a mass of 1.5 x 10^30 kg and is moving in a circular orbit about the center of its…

A:

Q: An ultracentrifuge accelerates from rest to 102900 rpm in 2.15 min. Randomized Variablesω = 102900…

A: Given value--- angular speed = 102900 rpm. time = 2 15 min. l = 9.1 cm. We have to find--- Part…

Q: A solid sphere is released from the top of a ramp that is at a height h1 = 2.00 m. It rolls down the…

A:

Q: A 3.5-inch floppy disk in a computer rotates with a period of 1.4 × 10−1 ?. What are (a) the angular…

A: (a) The angular speed (ω) of the disk is given by, Here, T = 1.4 x 10-1 s denotes the time period…

Q: blades of a fan running at low speed turn at 280 rpm. When the fan is switched to high speed, the…

A: Initial frequency fo = 280 rpm = 280/60 rps  =4.67 rps  Final frequency f = 430 rpm = 430/60 rps…

Q: How fast (in rpm) must a centrifuge rotate if a particle 7.8 cm from the axis of rotation is to…

A: The centripetal acceleration is a given by                                          a=ω2r…

Q: A 650 g hollow ball (spherical shell) is rolling along a horizontal floor at 4 m/s for a distance of…

A:

Q: A single bead can slide with negligible friction on a stiff wire that has been bent into a circular…

A: When an object is rotating about an axis in a circular path then it will be subjected to various…

Q: A 700 g hollow ball (spherical shell) is rolling along a horizontal floor at 4 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

A: Given that: The mass of the ball, m=0.2 kg The initial height is H=6.3 m The final height is h=1.6 m…

Q: A diver is diving from a height of 20 m. First, he makes a rotation (body tucked). At the end of…

A: Using the kinetic equation, ∆y=vot+12at2 Here, initial velocity vo=0 for no initial vertical…

Q: A cylinder, a sphere and a hoop of the same masses and radii are rolling from an inclined plane.…

A: Cylinder , sphere and hoop,  Moment of inertia of cylinder = I = 12mr2 Radius of gyration of…

Q: A rotating platform of radius R = 2.7 cm starts from rest and accelerates with uniform angular…

A:

Q: A wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 21 s. Its blades…

A:

Q: A child’s toy consists of a small wedge that has an acute angle of 34◦. The sloping side of the…

A:

Q: An object of mass m1 = m and an object of mass m2 = 2m move around a rotation axis A in parallel…

A: The moment of inertia of the outer mass m1 can be given as, The moment of inertia of the inner mass…

Q: Two bugs, Buzz and Crunchy, are siting on a spinning disk on a horizontal plane. Buzz is sitting…

A:

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: Rank in order, from largest to smallest, the angular accelerations αa to αd in (Figure 1).

A: Write the expression for torque.

Q: A roller coaster loaded with passengers has a mass of 2 x 103 kg; the radius of curvature of the…

A: mass (m)= 2000 kg tangential speed (v) = 18 m/s Radius of curvature = 24 m

Q: A bowling ball of radius 0.109 m Is tossed onto a bowling lane with speed 9.2 m/s. Initially the…

A:

Q: In the figure below, a solid ball rolls smoothly from rest (starting at height H = 8.3 m) until it…

A:

Q: An ultracentrifuge accelerates from rest to 96200 rpm in 1.95 min. Randomized Variables f = 96200…

A:

Q: A propeller with a radius of 1.2 meters is rotating at 1,400 revolutions per minute. What is the…

A: we can find velocity at tip of propeller by simple velocity equation .

Q: 1. A hoop of radius 0.30 m and a mass of 0.25 kg is released from rest and allowed to roll down an…

A: Given: The mass of the hoop is 0.25 kg. The radius of the hoop is 0.3 m. The vertical height is 2.6…

Q: box of mass 10 Kg, moves in circular motion with the mass function as m = 7t. The function for the…

A: Centripetal force is given by,  F=mv2r Given : Mass as a function of time m=7t Radius r=2t2

Q: A solid sphere is released from the top of a ramp that is at a height h, = 1.85 m. It rolls down the…

A:

Q: A solid ball (/com =MR? )rolls smoothly from rest (starting at height H= 5.9 m until it leaves the…

A: Let the mass of the ball = m Let the radius of the ball = r H = 5.9 m h = 2.1 m Time taken by ball…

Q: Imagine that you could see a wheel spinning while speeding up, so you know that the angular velocity…

A: The direction of the angular velocity is given by the right-hand rule. According to the right-hand…

Q: A 1.7 kgkg , 20-cmcm-diameter turntable rotates at 140 rpmrpm on frictionless bearings. Two 450 gg…

A:

Q: A 5 kg ball takes 13.7 seconds for one revolution around the circle. What's the magnitude of the…

A: Mass of ball = 5 kg  Time taken to complete one revolution = 13.7 seconds  Angular velocity (w) is…

Q: A conical pendulum is formed by attaching a ball of mass m to a string of length L, then allowing…

A: The free body diagram of the pendulum is shown as, T = Tension in the string r =  radius of…

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.