A cord is wrapped around the rim of a solid cylinder of radius 0.25 m, and a constant force of 40 N is exerted on the cord shown, as shown in the following figure. The cylinder is mounted on frictionless bearings, and its moment of inertia is 6.0 kg ⋅ m2 . (a) Use the work energy theorem to calculate the angular velocity of the cylinder after 5.0 m of cord have been removed. (b) If the 40-N force is replaced by a 40-N weight, what is the angular velocity of the cylinder after 5.0 m of cord have unwound?

Q: Two wheels of moment of inertia 2.0 kg m and 1.0 kg.m are set in rotation with angular speed 6.4…

A:

Q: In the figure, a wheel of radius 0.390 m is mounted on a frictionless horizontal axle. Amassless…

A:

Q: In the figure, two blocks, of masses m=1.69 (kg) and M=3.65 (kg), are connected by a light string…

A:

Q: A wheel with moment of inertia, I = (3⁄4) mR2 of radius 0.50 m and a mass of 0.30 kg is released…

A:

Q: A 34 cm diameter circular saw blade has a mass of 0.95 kg, distributed uniformly as in a disk. What…

A:

Q: The rigid body consists of three particles connected by massless rods. It is to be rotated about an…

A: Given: Mass M = 0.4 kg Side a = 30 cm. = 0.3 m. Side b = 50 cm = 0.5 m. Angular speed (ω) = 5.0…

Q: The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk…

A: Variables known, Radius of the disk is 2.1cm or 21.x10-2m, Mass of the disk is 19grams or…

Q: In the figure, a 0.400 kg ball is shot directly upward at initial speed 71.5 m/s. What is its…

A:

Q: Two wheels of moment of inertia 4.4 kg.m² and 4.4 kg.m² are set in rotation with angular speed 4.5…

A: The situation provided in the question reassembles the condition of inelastic collision. Thus, apply…

Q: A uniform cylindrical turntable of radius 1.80 m and mass 26.1 kg rotates counterclockwise in a…

A:

Q: Two wheels of moment of inertia 6 o kg mand 2.2 kg m² are set in rotation with angular speed 3.4…

A: Given:  I = 6 kg m2  I' = 2.2 kg m2 w = 3.4 rad/s w'  = 9.9 rad/s

Q: A uniform cylindrical turntable of radius 1.80 m and mass 31.6 kg rotates counterclockwise in a…

A: (a) No external force is acting on the system. Therefore, the angular momentum of the system will…

Q: Two wheels of moment of inertia 4.2 kg.m? and 3.6 kg.m2 are set in rotation with angular speed 2.1…

A:

Q: Two wheels of moment of inertia 8.6 kg.m and 13 kg m² are set in rotation with angular speed 2.1…

A: The situation provided in the question reassembles the condition of inelastic collision. Thus, apply…

Q: When a pitcher throws a curve ball, the ball is given a fairlyrapid spin. If a 0.15-kg baseball with…

A: Given mass of the ball m=0.15 kgRadius R=3.7 cm           R=0.037 mLinear speed V=48 m/sAngular…

Q: A 2.0-kg solid cylinder 1radius = 0.10 m, length = 0.50 m2 isreleased from rest at the top of a ramp…

A: Given, Mass of the cylinder, m = 2.0-kg The radius of the cylinder, r = 0.10 m The length of the…

Q: Two wheels of moment of inertia 3.6 kg m and 7.6 kg.m2 are set in rotation with angular speed 9.6…

A: Given information: Here, I1 and I2 are the MOI of the two wheels with initial angular speed ω1 and…

Q: A horizontal 650 N merry-go-round is a solid disk of radius 2.75 m. It has an initial angular…

A:

Q: assume the ball is a solid sphere of radius 2.9 cm and mass0.14 kg. If the ball is released from…

A: (a) The ball is starting moving from rest, and that time the kinetic energy of the ball will zero.…

Q: How much work must be done to accelerate a baton from rest to an angular speed of 7.35 rad/s about…

A: Given angular speed =7.35 rad/s about its center baton to be a uniform rod of length = 0.517 m  mass…

Q: Consider the system shown below, where m1=6.2kg and m2=15kg are attached to the ends of a massless…

A:

Q: The shown body is combined from Ring (with mass=3.6 kg), Rod (with mass=2.9 kg) and Disk (with…

A: Given: The mass of the ring is 3.6 kg. The mass of the disk is 3.8 kg. The mass of the rod is 2.9…

Q: Calculate the moment of inertia of a thin uniform rod that is 1.45 m long and has a mass of 5 kg…

A:

Q: If M = 0.50 kg, L = 1.2 m, and the mass of each connecting rod shown is negligible, what is the…

A: Consider the left side particle as the origin. The position of the left side particle will be 0, the…

Q: In the figure, a 0.400 kg ball is shot directly upward at initial speed 58.5 m/s. What is its…

A:

Q: A uniform solid sphere rolls along a horizontal frictionless surface at 20 m/s and makes a smooth…

A:

Q: Rigid rods of negligible mass lying along the y axis connect three particles.: m; =4kg at (0,3)m,…

A: Angular speed= 8 rad/s to find= kinetic energy of the system

Q: Show that the moment of inertia for a thin uniform rod of mass M and length L rotating around its…

A:

Q: In the figure, a 0.400 kg ball is shot directly upward at initial speed 50.0 m/s. What is its…

A:

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

A:

Q: The rigid body shown in the figure consists of three particles connected by massless rods. It is to…

A:

Q: Two wheels of moment of inertia 9.7 kg.m and 9.4 kg.m are set in rotation with angular speed 21…

A: Given : moment of inertia of wheels, I1 = 9.7 kgm2 & I2 = 9.4 kgm2              Angular…

Q: A point of mass of 0.40kg is set to rotate about a fixed axis 0.70 m away. The mass is initially at…

A: The tangential acceleration is given by,

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

A: Length ( L ) = 0.745 m Mass ( m ) = 2.59 kg Moment of Inertia ( I ) = m.L23 Substituting the values…

Q: A uniformly-dense equilateral triangle with weights hanging from each vertex is fixed at its center…

A:

Q: The net work done in accelerating a propeller from rest to an angular velocity of 200 rad/s is 3 000…

A: Given: The net work done by the propeller is E=3000 J. The angular velocity is ω=200 rad/s.   The…

Q: The person whose leg is shown kicks his leg by exerting a 2000-N force with his upper leg muscle.…

A:

Q: O Resources Lx Give Up? Hint The wheels of a wagon can be approximated as the combination of a thin…

A:

Q: The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk…

A:

Q: Consider a person who is sitting on a frictionless rotating stool. The person initially has his arms…

A: accordind to conservation of angular momentum I₁w₁=I₂w₂

Q: The rigid body shown in the figure consists of three particles connected by massless rods. It is to…

A:

Q: A track is mounted on a large wheel that is free to turn with negligible friction about a vertical…

A: The rotational inertia of the wheel about its axis is ,

Q: Consider four objects, each having the same mass and the same radius: 1) a solid sphere, 2) a hollow…

A: Given data-  Four objects are given =   1.)  solid sphere…

Q: In the figure, a 0.400 kg ball is shot directly upward at initial speed 51.9 m/s. What is the…

A: The net force acting on an object is equal to the product of mass times the acceleration. An object…

Q: A smooth rod of mass M, length L= 2 (m), is rotated at one end with a constant angular velocity w =…

A: