A disc having radius R is rolling without slipping on a horizontal plane as shown. Centre of the disc has a velocity v and acceleration a as shown. Speed of point P having coordinates (x, y) is If V=2aR the angle θ between acceleration of the topmost point and the horizontal is

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

Vx2+y2R

Vx2+(y+R)2R

vx2+(y−R)2R

None

45°

tan−1 ⁡(2)

tan−1 ⁡12

answer is , .

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

∵ω=VR,OP=x2+y2origin is ins tantaneous centre of rotation∴VP=ωr=ω(OP)=VRx2+y2∵a=αRac=ω2R=VR2R=V2R=(2a)tan⁡θ=ac2a=1∴θ=45∘

Watch 3-min video & get full concept clarity