In: Physics
Two blocks (m1=3kg, m2=7.8kg ) are connected by a string that passes through a massless pulley as shown in the Figure. The first block with mass m1 slides up the inclined plane when the system is released. The inclined plane makes an angle θ = 220 with the horizontal and the kinetic friction coefficient between the inclined plane and m1 is =0.49. Take g=10m/s2 Find the speed of the block with mass m2 after it travels h=5.8m.
First, find the acceleration of the blocks.
Refer the figure
is the frictional force on block m1
is the normal force on block m1
is the tension in the string
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Points to remember:
Frictional force = Coefficient of friction*Normal force.
Weight of block m1, is acting vertically downwards and it can be split into its components.
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Consider block m1
Net Force = Mass*acceleration
------------(1)
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Consider block m2
Net Force = Mass*Acceleration
Put (1) in the above equation
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Consider block m2
The blocks are released from rest, so the initial velocity is zero.
Use formula
ANSWER:
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