A 2 kg block is being pulled by a rope with a tension of 3N at an angle of 45° as shown. The coefficients of friction are μk=0.4 and μs=0.5.
Does the block slide or not?
M*g = 2 * 9.8 = 19.6 N. = Wt. of block.
Fn = 19.6 - 3*sin45 = 17.5 N. = Normal force.
Fs = us*Fn = 0.5 * 17.5 = 8.74 N. = Force of static friction.
Fap*Cos45-8.74 = M*a.
Fap*Cos45 = 8.74 + M*0, Fap = 12.4 N. = Force applied = Force needed to start the block moving.
No, the block does not slide.