Grade 11Mechanics
Find the distance travelled by the block. If the coefficient of friction vary as μ=cx. Please see image
1 Answer
Vikas TU
Net Force on block = >
F – uMg = Ma
F = M[cgx + vdv/dx]
vdv = Fdx/M – cgxdx
integerating both sides,
v^2/2 = Fx/M -cgx^2/2
v = root(2xF/M – cgx^2)
v would be zero at last.
hence, 2F/M – cgx = 0
or x = 2F/cgM
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