Numerical Problems: A block of wood of mass 150g rests on an inclined pale. If-0
ID: 1783274 • Letter: N
Question
Numerical Problems: A block of wood of mass 150g rests on an inclined pale. If-0.3, find a) the greatest angle to which the plane may be tilted without the block slipping. b) the force parallel to plane necessary to prevent slipping when the angle of the plane with the horizontal is 30 points] 1. A box weighing 5 kg is pulled along a level floor at constant speed by a rope that makes an angle of 30 with the floor. If the force applied on the rope is 10N, what is the coefficient of sliding friction between the box and floor? [5 points 2.Explanation / Answer
1. (a) tan(theta) = us
theta = tan^-1(0.3) = 16.7 deg
(b) at theta = 30 deg
N = m g cos30
f = us m g cos30 = 0.382 N
along the incline
F + f - m g sin30 = 0
F = (0.150 x 9.8 x sin30) - 0.382
F = 0.353 N
(2) in vertical,
N + 10 sin30 - (5 x 9.81) = 0
N = 44.05 N
in horizontal,
10 os30 - f = 0
10 cos30 - u 44.05 = 0
u = 0.197
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