9,Use the force equations for the rolling disk (on a ramp) to find the force of...
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 disk is projected upwards on a ramp of unknown dimensions. It comes to a complete stop at the top and then falls down to the bottom. (a uniform disk of mass M with radius R) (pure rolling motion) a) Find the height of peak b) What are the vector components of the disk traveling up the ramp? c) What is velocity of disk (bottom of ramp)(rolling rotation) if energytotal = mgH?
Group Activity: Ball rolling down ramp and off cliff As shown in the figure below, a hollow ball with a mass m 5.00 kg and radius r -30.0cm starts from rest and rolls a distance of 1.2 m down a 30° ramp, before reaching a flat section at the bottom of the ramp. The ball then rolls along the flat section for 1.0 m before rolling off a 2.5 m-high cliff. The ball lands a distance d from the bottom...
Determine the acceleration of the center of mass of a uniform solid disk rolling down an incline making angle theta with the horizontal. (Use theta and g in each of the following equations, as appropriate.) a_disk = Compare this acceleration with that of a uniform hoop. a_hoop = (b) What is the minimum coefficient of friction required to maintain pure rolling motion for the disk? mu =
A block is sliding up the ramp as shown. The ramp is oriented at an angle θ and the coefficient of static friction between the block and the ramp is us and that of kinetic friction is μk, what is the friction force on the block? O Mg uphill OH Mg cos(9) uphill O μ.Mg sin(9) downhill O μ.Mg cos(6) downhill O Mg downhill O μ.Mg sin(6) uphill
A 400-kg piano is being unloaded from a truck by rolling it down a ramp inclined at 23 ∘. There is negligible friction and the ramp is 15.0 m long. Two workers slow the rate at which the piano moves by pushing with a combined force of 1200 N parallel to the ramp. If the piano starts from rest, how fast is it moving at the bottom? V= ? m/s
A pinball machine launch ramp is constructed by placing a spring of force constant ? at the bottom of a ramp of length ? inclined at 30 degree. The spring is compressed at a distance of x= √mgL/k (sqrt mgL/k) so that when launched, the pinball (sphere of mass m and radius r) barely reaches the top of the ram without rolling back. How, suppose that the ramp is waxed, so there is no friction. Find the distance the spring...
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...
#335. Rolling disk kinetics A uniform rigid disk of mass m = 6 kg and radius r = 4 m starts at rest on a flat ground as shown. Force Ď= 28î + 589 N acts at point P on the right edge, and gravity g = 9.8 m/s² acts vertically. The coefficient of friction between the disk and the ground is j = 0.75. D lo c. P What is the angular acceleration ā of the disk? Matlab/Mathematica input:...
3. The solid homogeneous cylinder is released from rest on the ramp. A steady wind force of 5 lb acts on the cylinder as it rolls or slips (to be determined) down the slope. The wind force acts through the mass center, G in a direction parallel to the slope, i.e., opposite to the frictional force, F W 20 lb 12" wind 5 Ib If 0 20°, H, 0.35 and 0.25 (a) Draw the freebody diagram (b) Determine the magnitude...