wedge block system

HOW TO GET THE ACCELERATION OF WEDGE "M"??
ASSUME ALL SURFACES FRICTIONLESS

4 Answers

1
Anirudh Kumar ·

'le the block move towards left with acceleration 'a'

now we can see that the block will slide in reference frame of the wedge with acceleration 'a-acosα'

let the Tension be T

mgsinα -T+maCosα = ma(1- cosα)
T = m(gsinα-a-2acosα)

now considering the wdge and block system only horizontal force is T .

thus T= (M+m) a
mgsinα - ma(1+2cosa) = Ma+am

=>a= mgsinαM +2m(1-cosα)

1
niteen9128 ·

GOTCHA!!! NICEE WORK...thnks

1
sanchit ·

now we can see that the block will slide in reference frame of the wedge with acceleration 'a-acosα' can u plzz explain this line a lil bit plzzzzzzzzzzzzzzzzzzzz

1
Anirudh Kumar ·

i meant find the relative acceleration of the block w.r.t the wedge along the slope.

aR+ a cosα= a .

aR = a(1-Cos α)

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