A string is wrapped severaltimes around the rim of a small hoopwith radius 8.00 cm and mass 0.180 kg.The free end of the string is held inplace and the hoop is released from rest. After the hoop hasdescended75.0 cm, calculate (a) theangular speed of the rotating hoop and(b) the speed of its center.

A string is wrapped severaltimes around the rim of a small hoopwith radius 8.00 cm and mass 0.180 kg.The free end of the string is held inplace and the hoop is released from rest. After the hoop hasdescended75.0 cm, calculate (a) theangular speed of the rotating hoop and(b) the speed of its center.

Related questions

Q: A mass m hangs from a string wrapped around a pulley of radius r. The pulley has a moment of inertia…

Q: A compound pendulum pivoted at O consists of a hollow-disk of radius R-40 +2da em with a hole of…

A: Let us consider Some negative mass in place of the cut off portion i.e. -M (note that we aren't…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

Q: A uniform solid sphere is rolling without slipping along a horizontal surface with a speed of 1.36…

Q: A solid uniform sphere of mass 81kg and radius 21cm starts from rest and rolls without slipping down…

Q: A uniform disk with mass 40.0 kg and radius 0.200 m is pivoted at its center about a horizontal,…

A: Mass of the disk , M = 40 kg Radius of the disk , R = 0.2 m Tangential force , F = 30 N To find =…

Q: A hollow ball of mass Mand radius Ris released from rest at the top of a bumpy track. The starting…

A: Given: Mass of hollow ball = M Radius of ball = R The ball is released to a bumpy track. The initial…

Q: The cable drum has amass of 685 kg with radius of gyration of 440 mm about its center O and is…

Q: A solid cylinder of mass 1.1 kg and radius 19 cm is yoked to a spring as shown. To be pre- cise, the…

A: Given data: The mass of the cylinder is m = 1.1 kg The spring constant is k = 719.7 N/m We kanow…

Q: A round object with moment of inertia Iobject = 2/3MR2, mass M = 2:2 kg, and radius R=0.2 m rolls…

A: We apply the condition of pure rolling and work-energy theorem to get the take-off velocity. And…

Q: 1.A spool of light cord, mass M= 3.00 kg andR = 1.00 m is unwound under a constant force, F= 6.00 i…

A: The frictional force act opposite to the applied force. The torque due to the applied force and…

Q: Am-0.25kg mass is attached to end of a thin uniform rod of mass M =1.34kg and length L-3.33m which…

A: According to the conservation of energy, energy is neither created nor destroyed but transforms from…

Q: In a conical pendulum, mass of the bob is 0.5gm and length of the stuing is 20 cm. The bob describes…

A: To find-Angular speed (ω)=?Given that-Mass of bob (m)=0.5 gmLength of string (l)=20 cmRadius of…

Q: In the system , a 72.0 kg mass is released from rest and falls, causing the uniform 70.0 kg cylinder…

Q: In the assembly below the system can rotate around the vertical axis. The left part is a square…

A: given that,R=0.1 mm= mass of each bar=0.1 kgM=0.3 kgR'=0.2 mT=2…

Q: A rod of mass 1.6 kg and length 1.2m has two identical sliding small masses, mbeads =0.64 kg,…

A: By conservation of angular momentum

Q: A prototype of an adapted bowling device is a simple ramp that attaches to a wheelchair. The bowling…

A: Since the ball is at rest initially, its initial kinetic energy is zero. It has only the potential…

Q: In an eccentric press, the 2.5 kW motor rotates at 1410 rpm and drives the crank with a 12: 1 gear…

Q: A turntable is a uniform disc of mass 1.2 kg and radius 1.3 x 10-1 m. The turntable is spinning at a…

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

Q: A solid cylinder of mass 1.1 kg and radius 19 cm is yoked to a spring as shown. To be pre- cise, the…

A: Visualize the Problem:

Q: A hollow ball of mass Mand radius Ris released from rest at the top of a bumpy track. The starting…

A: Given; Mass of the ball is M Radius of the ball is R Initial height is H

Q: A solid sphere, a ring, and a solid disk start rolling down an incline plan at θ=20 degrees…

A: Given, Three objects are rolling down from a inclined surface. All have same radius 0.5m and mass…

Q: A uniform solid 5.25-kg cylinder is moving up a ramp that is incline at 30° to the horizontal. The…

Q: 1. Three objects on a flat frictionless table (see figure) with the same speed v are about to…

A: Given that three objects moving with speed v collide and stick together. (A). (1). The momentum of…

Q: rod of uniform density has a length of 0.5 m and is rotating in a circle on a frictionless table.…

Q: A uniform solid disk of radius R is set into rotation with an angular speed ωi about anaxis through…

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

Q: A mass m=10kg is fastened to a light spring k=380N/m by a light that passes over a pulley. Assume…

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = 0, the pendulum is at its…

Q: A solid disc and a ring, both of radius 10 cm are placed on a horizontal tablesimultaneously, with…

Q: A disk of radius R and mass M is spinning at an angular velocity ω0 rad/s. A non-rotating concentric…

A: Given, A disk of radius R and mass M is spinning at an angular velocity ω0 rad/s. A non-rotating…

Q: A 2.30 kg hoop 1.10 m in diameter is rolling to the right without slipping on a horizontal floor at…

A: Expression for velocity of the centre of mass -Expression for total kinetic energy of the hoop-

Q: A 255-lbr block is suspended from an inextensible cable which is wrapped around a drum of 1.75-ft…

A: Given: The weight of the block is 255-lbf. The radius of the drum is 1.75 ft. The moment of inetia…

Q: A uniform disk with mass 40.0 kg and radius 0.200 m is pivoted at its center about a horizontal,…

Q: A 55.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 560 kg ·…

A: Given data The mass of the women is: m = 55 kg The moment of Inertia of the turntable is: It = 560…

Q: A uniform solid sphere with the radius R=20 cm and a uniform cylinder, with the radius R1=10 cm is…

A: According to principle of energy conservation, Here, m is the mass of the object, v is the speed of…

Q: The ends of a 9-lb rod AB are constrained to move along slots cut in a vertical plate as shown. A…

A: Given: The spring constant k=3 lbin. The rod is released from θ=50∘.

Q: A uniform rod of lenght L=20 cm and mass M=1 kg is lying on a frictionless table. You slide a small…

A: Given, Length of rod, Mass of rod, Mass of ball, Speed of ball, Distance of ball from center of…

Q: A solid cylinder of mass 2 kg and radius 8 cm is mounted with its axis horizontal. A thread is wound…

Q: A thin uniform rod of length 0.7 m and mass M rotating horizontally at 70.6 rad/s counterclockwise…

Question

100%

A string is wrapped several
times around the rim of a small hoop
with radius 8.00 cm and mass 0.180 kg.
The free end of the string is held in
place and the hoop is released from rest
. After the hoop has
descended
75.0 cm, calculate (a) the
angular speed of the rotating hoop and
(b) the speed of its center.

Expert Solution