An 80 kg thin disk rolls down a plane. It has an angular velocity of ω=5...
A thin disk of mass m = 4 kg rotates with an angular velocity W2 with respect to arm ABC, which itself rotates with an angular velocity w1 about the y axis. Assume that ABC has a negligible mass. -450 mm 150 mm 225 mm Determine the couple Mij that should be applied to arm ABC to give it an angular acceleration (1= -(8.1 rad/s2); when w1 = 5.6 rad/s, knowing that the disk rotates at the constant rate w2...
A disk of m=5 kg and radius r=2 m starts from rest and rolls down a 20 degree incline from an initial height of 50 m. What is the linear velocity of the disk as it reaches the bottom of the incline? What is the rotational kinetic energy of the disk at the halfway point between the positions 1 and 2? If it takes 1.2 seconds for the disk to reach the bottom of the incline, find the magnitude of...
A uniform solid disk has a radius 1.60 m and a mass of 2.30 kg rolls without slipping to the bottom of an inclined plane. If the angular velocity is 4.09 rad/s at the bottom, what is the height of the inclined plane?
A solid disk rotates in the horizontal plane at an angular velocity of 0.0612 rad/s with respect to an axis perpendicular to the disk at its center. The moment of inertia of the disk is 0.134 kg·m2. From above, sand is dropped straight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.398 m from the axis. The sand in the ring has a mass of 0.509 kg. After all...
A solid disk rotates in the horizontal plane at an angular velocity of 0.0647 rad/s with respect to an axis perpendicular to the disk at its center. The moment of inertia of the disk is 0.199 kg·m2. From above, sand is dropped straight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.420 m from the axis. The sand in the ring has a mass of 0.499 kg. After all...
Disk D has angular velocity ω': 4 rad/s and angular acceleration α': 1.2 rad/s' and radius r = 0.3 m. The fixed curved surface C has radius R = 0.8 m. If no slipping occurs between disk D and the fixed surface C, determine the angular velocity and angular acceleration, ω and α, of arm AB. 2. ω,α ω.a
A solid disk rotates in the horizontal plane at an angular velocity of 5.00 × 10-2 rad/s with respect to an axis perpendicular to the disk at its center. The moment of inertia of the disk is 0.15 kg.m2. From above, sand is dropped straight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.40 m from the axis. The sand in the ring has a mass of 0.50 kg....
A disk of mass M and radius R is rotating with an angular velocity ω. A rod also of mass M but length 2R is initially not rotating. It is dropped vertically onto the rotating disk. After the collision, the disk and rod rotate together with an angular velocity of? What fraction of the initial kinetic energy was lost in the collision?
disk rolls without slipping such that it has an angular acceleration of a 8 rad/s2 and angular velocity of w 32 rad/s at the instant shown. Assume point A lies on the periphery of the disk, 150 mm from C. (Figure 1) Figure 1 of 1 500 mm 150 mm 400 mm
A disk of mass 5 kg and radius 1 m is rotating with an angular velocity of ?0 = 11 rad/s . A lump of clay of mass 3 kg is dropped onto the disk at a radius of 0.5 m , sticking to the disk. What is the final angular velocity of the disk? (Idisk = MR2/2 )