Comment below in case of any trouble with the answers. I will try to respond asap.
Chapter 6, Problem 6/165 A uniform circular disk which rolls with a velocity v = 2.5...
A solid disk (radius R=2.5 cm , mass M =0.35 kg) rolls without slipping down an 30 degree-incline. If the incline is 4.2 m long and the disk starts from rest, what is the linear velocity of its center of mass at the bottom of the incline (in m/s)?
V. A 10-cm diameter, solid, uniform circular disk with mass 0.2 kg rolls, without slipping, starting from rest, down a long 30° incline. It reaches an angular speed of 8 rad/s in 4 s. The distance moved by the center of mass of the disk in 2.0 s is: a. 0.8 m b. 0.1 m c. 0.2 m d. 2.0 m e. None of the above
V. A 10-cm diameter, solid, uniform circular disk with mass 0.2 kg rolls, without slipping, starting from rest, down a long 30° incline. It reaches an angular speed of 8 rad/s in 4 s. The distance moved by the center of mass of the disk in 2.0 s is: a. 0.8 m b. 0.1 m c. 0.2 m d. 2.0 m e. None of the above
The circular disk rolls to the left without slipping. If 2.74j m/s2, determine the velocity and acceleration of the center O of the disk. 210 210 B 320 mm mm Answers: i m/s i m/s2
81. A uniform disk with a mass of m and a radius of r rolls without slipping along a horizontal surface and ramp, as shown above. The disk has an initial velocity of v. What is the maximum height h to which the center of mass of the disk rises? u2 2g 3u (A) hU (B) h=- u2 (C) h-U 2g
Problems 1. (30 points.) A uniform circular disk is rolling without slipping on a horizontal surface with an initial speed of 12 m/s. The disk then rolls without slipping up a ramp of height 3.0 m and length (along the ramp's surface) of 12.0 m. Coming to the end of the ramp, it shoots over the edge and ck to the ground. Calculate the magnitude of the angular velocity the disk will have about its center-of-mass when it hits the...
A solid sphere of uniform density starts from rest and rolls without slipping a distance of d = 2 m down a θ = 20° incline. The sphere has a mass M = 5.8 kg and a radius R = 0.28 m. 1. Of the total kinetic energy of the sphere, what fraction is translational? KE tran/KEtotal 2)What is the translational kinetic energy of the sphere when it reaches the bottom of the incline? KE tran = 3. What is the...
A solid sphere rolls in released from rest and rolls down an incline plane, which is 2.0 m long and inclined at a 30° angle from the horizontal. (a) Find its speed at the bottom of the incline. (Remember that the kinetic energy in rolling motion is the translational kinetic energy ½ Mv2 of the center, plus the rotational K.E. ½ Iω2 about the center. Also remember that v = ωr if the sphere rolls without slipping.) (b) Find the...
Chapter 5, Problem 5/144 The disk rolls without slipping on the horizontal surface. If the disk has a clockwise angular velocity of wo-21 rad/s and a counterclockwise angular acceleration of 3.6 rad/s2 determine the veloclty and acceleratlon of pln A relatlve to the slotted member BC and the angular velocity and angular acceleratlon of BC. The value of r is 225 mm. Neglect the distance from the center of pin A to the edge of the disk. The relative velocity...
6. A disk with a mass M, a radius R, and a rotational inertia of I- MR is attached to a horizontal spring which has a spring constant of as shown in the diagram. When the spring is stretched by a distance x and then released from rest, the disk rolls without slipping while the spring is attached to the frictionless axle within the center of the disk (a) Calculate the maximum translational velocity of the disk in terms of...