A uniform hoop of mass m and radius R rolls down an inclined plane of length I withoutslipping. The plane, which is originally horizontal, is lifted up at a constant rate such that theangle of the plane with the horizontal at time t is o = wt (see figure).Ri. q and 0 are not independent. If 6 = 0 when q 1, determine the relation betweenthem.ii. Determine the height of the centre of mass of the hoop above the base of the plane.iii. Hence show that the Lagrangian of the body, expressed in terms of the distance qfrom the pivotal point of the plane, isL = m +mwq-mg(q sin wt + Rcos wt).

A uniform hoop of mass m and radius R rolls down an inclined plane of length I without slipping.

Answered: tolis do riginally horizontal, is…

Similar questions

please answer this question within 30 minutes. i will upvote. A rock is dropped into the center of a circutar pond. The ripple moved outward at 4( m)/(s). How fast does the area change, with Lespect to time, when the ripple is 3m from the center?
Could you also derive E = Kqr/R3 for me? Thank you.
If acleleration CA) with amoanitud of 10 m/st and dive hion of 37 degrees is alded to accelesation (2) with a magnitud of do m/s and a drection of 120 drgrees, The mag nitud of the Sum of these accelerations is The direction for the accelesalion Vector is
What is the total lenght of your travel from your house to school? What is the total Displacement of your travel?
llustration | 1' A particle is projected from the surface of the earth with a speed of -1 20 ms at an angle 30° with the horizontal. Determine the (a) time of flight (b) range (c) maximum height, and (d) equation of trajectory for this projectile motion [Take g = 10 ms1 %3D
In projectile motion, the horizontal and vertical components of velocity for a projectile are completely independent of each other. Are sometimes independent of each other, but will also sometimes affect each other. O sometimes independent of each other. O affect each other.
Question 19
A particle travels along a curved path between two points A and B as shown. Complete the following statement: The displacement of the particle does not depend on A В (A) the shortest distance between A and B. (B) the direction of A from B. the location of A. (D) the distance traveled from A to B.
A gunman shoots from a riffle in a horizontal direction without correcting for gravity. How much below the intended target, at a horizontal distance d, will the bullet strike if its initial speed is vo?
Starting from the relative position shown, aircraft B is to rendezvous with the refueling tanker A. If B is to arrive in close proximity to A in a 2.3-minute time interval, what absolute velocity vector should B acquire and maintain? The velocity of the tanker A is 306 mi/hr along the constant-altitude path shown. 8960 A 2710' В Answer: VB = ( i i+ i j) mi/hr
On May 20, 1999, Robbie Knievel easily cleared a narrow part of the Grand Canyon during a world-record-setting long-distance motorcycle jump-69.5 mm. He left the jump ramp at a 10∘∘ angle above the horizontal. How fast was he leaving the ramp?
ea curved path particle moving alenge a has it's parametric equation : - 3+ ,Y=4C05 3t,2=5 siu 2t (a find te velocity at eny time 9. ) fin d th velocity at t=0

SEE MORE QUESTIONS

tolis do riginally horizontal, is izontal at time t is o