A spring s, is fimly fixed at one end A and allowed to lie parallel to a plane inclined at 60° to the horizontal. If a body of mass 30kg is placed gently at the free end of the spring. Calculate the maximum compression of the springs if
(i) the plane is smooth
(Ii) the plane is rough assuming the coefficient of friction between the body and plane is 0.3. (Take spring constant = 350N/M and g = 10m/s^2)?
M*g = 30 * 10 = 300 N. = Force of the body.
Fp = 300*sin60 = 260 N. = force parallel with the plane.
Fn = 300*Cos60 = 150 N. = normal force.
Ff = u*Fn = 0.3 * 150 = 45 N. = Force of friction.
1. Compression = 260N. * 1m/350N = 0.74 m.
2. Compression = (Fp-Ff) * 1/k = (260-45)N. * 1m/350N = -----m.