#335. Rolling disk kinetics A uniform rigid disk of mass m = 6 kg and radius...
Problem 6 - Rigid Body Kinetics (15 pts) A thin disk of mass m has an angular velocity w, while rotating on a smooth surface. Determine its new angular velocity just after the hook at its edge strikes the peg P and the disk starts to rotate about P without rebounding. РО 01
A uniform disk with mass m = 9.07 kg and radius R = 1.36 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 313 N at the edge of the disk on the +x-axis, 2) a force 313 N at the edge of the disk on the –y-axis, and 3) a force 313 N acts at the edge of the disk at an angle θ =...
A uniform disk with mass m = 8.55 kg and radius R = 1.35 m lies in the xy plane and centered at the origin. Three forces act on the disk in the +y-direction (see figure below): (1) a force F1 = 335 N at the edge of the disk on the +x-axis, (2) a force F2 = 335 N at the edge of the disk on the ?y-axis, and (3) a force F3 = 335 N at the edge...
Correct answer: a_p = <3000,-60>
Body B1 is a uniform rigid disk that rotates about the fixed center O. Body B2 is a uniform thin rigid rod that connects pins P and Q, and point Q is constrained to move in a slot. 3 At the current instant we have -824 m = 24k rad/s up = 481-241 m/s w2--3k rad/s vQ = 36: m/s 362 m/s UO ?2--3k rad/s2 Matlab/Mathematica input: rOP = [-1,2] omega! = [24] omega2 =...
A uniform disk with mass m = 9.31 kg and radius R = 1.43 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 349 N at the edge of the disk on the +x-axis, 2) a force 349 N at the edge of the disk on the –y-axis, and 3) a force 349 N acts at the edge of the disk at an angle θ =...
A uniform disk with mass m = 9.04 kg and radius R = 1.35 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 309 N at the edge of the disk on the +x-axis, 2) a force 309 N at the edge of the disk on the –y-axis, and 3) a force 309 N acts at the edge of the disk at an angle θ =...
A uniform disk with mass m = 8.91 kg and radius R = 1.31 m lies
in the x-y plane and centered at the origin. Three forces act in
the +y-direction on the disk: 1) a force 340 N at the edge of the
disk on the +x-axis, 2) a force 340 N at the edge of the disk on
the –y-axis, and 3) a force 340 N acts at the edge of the disk at
an angle θ =...
A uniform disk with mass m = 8.66 kg and radius R = 1.38 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 301 N at the edge of the disk on the +x-axis, 2) a force 301 N at the edge of the disk on the –y-axis, and 3) a force 301 N acts at the edge of the disk at an angle θ =...
ANS:
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Consider a uniform disk of mass m, and radius R that is rolling with slipping. The surface has a coefficient of kinetic friction a) Find the equations of motion. b) Next consider the same disk when it is rolling without slipping. Find the EOM using either x or θ. Hint: be careful with the generalized force for θ. If we label point P as the point on the disk...
A uniform circular disk (merry-go-round) of radius R=2.19 m and mass M=21.9 kg freely rotates about a vertical axis, which is perpendicular to the ground, with initial angular velocity omegai=3.05 rad/s. A cat of mass m=8.70 kg, climbing in a tree, which hangs over the disk, falls straight down onto the edge of the disk and rides on it. The cat decides to walk inward and sits down R/2 m from the center. What is now the magnitude of the...