(6 points) Block mi in the figure below has a mass of 6 kg and m2 has a mass of
ID: 1837497 • Letter: #
Question
(6 points) Block mi in the figure below has a mass of 6 kg and m2 has a mass of 1.4 kg. The coefficient of kinetic friction between m2 and the horizontal surface is 0.55. The inclined plane is frictionless. 3. m. 8235 (a) Find the tension in the cord and the acceleration of m (b) If the coefficient of static friction is 0.65, what is the minimum mass of block m2 that would prevent the system from moving. 4. 12 points) Answer the following questions for the two block system shown below. The horizontal surface is frictionless. M = 8 kg, M2 = 3.2 kg, and h = 1.4 m. (a) Draw free body diagrams of M and M2. Draw and label all the forces acting on them and indicate your coordinate systemsExplanation / Answer
A.
On block M1 there will be only one force which is tension, in +x-direction.
On M2 block there will be two forces, one is upward T and other is 'mg' downward.
B.
using force balance on M1:
T = m1*a
force balance on M2:
m2*g - T = m2*a
Solving both equations:
T = 8*a
3.2*9.81 - T = 3.2*a
a = 2.80 m/sec^2
acceleration will be same for both masses:
C.
T = 22.42 N
D.
d = u*t + 0.5*a*t^2
1.4 = 0*t + 0.5*2.80*t^2
t = 1.4*2/(2.80) = 1 sec
v = u + a*t
v = 0 + 2.8*1 = 2.8 m/sec
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