Two blocks (m,=mz=2.99kg) are connected by a string that passes through a pulley of mass M=7.35kg and radius R=33cm as shown in the Figure. The first block with
mass shoes on an inclined plane when the system is released. The inclinod plane makes an anglé 8-68° with the horizontal and the kinetic friction coefficient between
the inclined plane and m, is HA=0.32 . Determine the speed of my after it travels h=4.6m - (Take g=9.81 mus", and pulley=1/2 MR2) Express your answer using two
decimal places
0
5
IR
m
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11th
Physics
Laws of Motion
Motion Along a Rough Inclined Plane
Two blocks of masses M1 = 4...
PHYSICS
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Asked on December 26, 2019 by
Mahavir Hule
Two blocks of masses M
1
=4kg and M
2
=6kg are connected by a string of negligible mass passing over a frictionless pulley as shown in the figure. The coefficient of friction between the block M
1
and the horizontal surface is 0.4. When the system is released, the masses M
1
and M
2
start accelerating. What additional mass m should be placed over M
1
so that the masses (M
1
+m) slide with a uniform speed?
1019726
HARD
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ANSWER
For uniform motion of mass M
2
-
T=M
2
g
For uniform motion of (M
1
+m)-
T=f
And, f≤μN=μ(M
1
+m)g
⟹μ(M
1
+m)g≥M
2
g
⟹m≥
μ
M
2
−M
1
⟹m≥
0.4
6
−4
⟹m≥11kg
Hence, m=12kg