From the horizontal. The Coefficient of sliding friction between the block and the surface is u=0.2.
a)Determine the force of friction acting on the block
b) Find the horizontal acceleration of the block
a)Determine the force of friction acting on the block
b) Find the horizontal acceleration of the block
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the force of friction is u N where u is the coefficient of friction and N is the normal force
we find the normal force from vertical equilibrium:
in the y direction, we have
Normal force - mg +Fsin 30=0
N = mg - F sin 30 = 10kg x 9.8m/s/s - 30N sin 30 = 83N
therefore the frictional force = 0.2*83N = 16.6N
we find the horizontal acceleration from
sum of forces in horizontal direction = m a
F cos 30 - u N = m a
26N - 16.6N = 10 a
a = 0.94m/s/s
30 cos 30
we find the normal force from vertical equilibrium:
in the y direction, we have
Normal force - mg +Fsin 30=0
N = mg - F sin 30 = 10kg x 9.8m/s/s - 30N sin 30 = 83N
therefore the frictional force = 0.2*83N = 16.6N
we find the horizontal acceleration from
sum of forces in horizontal direction = m a
F cos 30 - u N = m a
26N - 16.6N = 10 a
a = 0.94m/s/s
30 cos 30