expression for velocity of rolling body moving down the inclined plane
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Explanation:
the force required to move the body up an inclined plane can be calculated as
Fp = W h / l
= W sin α
= m ag sin α (1)
where
Fp = pulling force (N, lbf)
W = m ag
= gravity force - or weight of body (N, lbf)
h = elevation (m, ft)
l = length (m, ft)
α = elevation angle (degrees)
m = mass of body (kg, slugs)
ag = acceleration of gravity (9.81 m/s2, 32.174 ft/s2)
By adding friction - (1) can be modified to
Fp = W (sin α + μ cos α)
= m ag (sin α + μ cos α) (2)
where
μ = friction coefficient
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