Problems 1. (30 points.) A uniform circular disk is rolling without slipping on a horizontal surface...
A uniform solid sphere is rolling without slipping along a horizontal surface with a speed of 5.5 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the sphere after it has rolled 3.0 m up the ramp, measured along the surface of the ramp?
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...
2.2 A uniform solid sphere Mr) is rolling without slipping along a horizontal surface with a speed of 7.44 m/s when it starts up a ramp that makes an angle of 29.7 with the horizontal. What is the speed of the sphere after it has rolled 2.66 m up the ramp, measured along the surface of the ramp? FinalNumber Units
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
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
ANS: PLEASE USE LAGRANGIAN, THANK YOU, WILL UPVOTE GOOD ANSWER IMMEDIATELY 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 solid uniform sphere rolls without slipping along a horizontal surface with translational speed v, comes to a ramp, and rolls without slipping up the ramp to height h, as shown. Assuming no losses to friction, heat, or air resistance, what is h in terms of v? The moment of inertia of a rolling solid sphere is Icm=2/5MR2. Assume acceleration due to gravity is g= 9.8 m/s2. A.7v^2/10g B.v^2/2g C.v^2/7g D.3v^2/10g
Part A A uniform solid sphere is rolling without slipping along a horizontal surface with a speed of 4.10 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the sphere after it has rolled 3.00 m up the ramp, measured along the surface of the ramp? 0+1.37i m/s 0+1.57i m/s 0+0.783i m/s 0+0.979i m/s 0+1.17i m/s Request Answer Submit
e) none of the A 2.0-kg solid disk rolls without slipping on a horizontal surface so that its center proceeds to the right with speed 5.0 m/s. The point A is the uppermost point on the disk and the point B is along the horizontal line that connects the center of the disk to the rim. What is the direction of the disk's angular velocity? 5. 5.0 m/s a) to the left b) to the right c) out of the...