20. A disc of mass m and radius r rolls down an inclined plane without slipping...
A uniform drum of radius R and mass M rolls without slipping down a plane inclined at angle . Find its acceleration along the plane (translational acceleration). The moment of inertia of the drum about its axis through the center is I = MR^2/2 .
A particle of mass m slides without slipping down and inclined plane of mass M. The plane(a triangle) in turn can slide along the horizontal surface without friction. Find the Lagrangian in terms of (x, s, dx/dt, ds/dt), where s is the distance the particle has traveled down the incline, and solve the corresponding Euler-Lagrangian equations. Let x(t) be the location of the block, relative to the fixed origin, and x(0) = dx/dt(0) = 0, as well as s(0) =...
A uniform hollow spherical shell of mass M and radius R rolls without slipping down an inclined plane. The plane has a length of L and is at an angle (theta). What is its speed at the bottom?
A hollow 0.358 kg sphere rolls without slipping down an inclined plane that makes an angle of 41.0o with the horizontal direction. The sphere is released from rest a distance 0.734 m from the lower end of the plane. a. How fast is the hollow sphere moving as it reaches the end of the plane? b. At the bottom of the incline, what fraction of the total kinetic energy of the hollow sphere is rotational kinetic energy?
5. A uniform solid sphere rolls without slipping down a 19° inclined plane. What is the acceleration of the sphere's center of mass? The moment of inertia of a uniform solid sphere about an axis that passes through its center = ⅖mr². The moment of inertia of a uniform solid sphere about an axis that is tangent to its surface = 7⁄5mr².
A particle is located on the x axis 4.9 m from the origin. A force of 38 N, directed 30° above the x axis in the x-y plane, acts on the particle. What is the torque about the origin on the particle? Round your answer to the nearest whole number. Use a minus sign to indicate a negative direction and no sign to indicate a positive direction.
A solid, uniform sphere of mass 2.0 kg and radius 1.7 m rolls without slipping down an inclined plane of height 2.9 m. What is the angular velocity of the sphere at the bottom of the inclined plane?
A particle is located on the x axis 3.1 m from the origin. A force of 39 N, directed 30° above the x axis in the x-y plane, acts on the particle. What is the torque about the origin on the particle? Round your answer to the nearest whole number. Use a minus sign to indicate a negative direction and no sign to indicate a positive direction. Please show work! Thank you!
a solid sphere rolls without slipping from height of 3.5m down inclined plane. calculate speed of sphere when it reaches bottom of ramp.
Quention 4 A uniform disc of mass M 20 kg and radius R 0.45 m rolls without slipping down an inclined plane of length_45 m and slope of 30" The disk starts from rest at the top of the incline. Find the angular velocity at the bottom of the incline Not yet answered Marked out of 8.00 Flag question Select one 31.1 rad's 35.2 rad's 33.6 rad/s 38.1 rad/s AENG 2.20 PM 0