Pully with 2 blocks friction question

AI Thread Summary
The discussion focuses on determining the mass of block B required to initiate the sliding of block A up an inclined plane. Block A, with a mass of 3.00 kg, is affected by static friction and gravity, which must be considered to calculate the necessary tension in the string. The initial calculations incorrectly equate tension to the force of friction alone, neglecting the gravitational component acting along the incline. It is clarified that tension must counteract both the force of friction and the gravitational force component. Accurate calculations are essential for determining the correct mass of block B needed to start block A's movement.
algar32
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Homework Statement



Two blocks are connected by a string that goes over an ideal pulley as shown in the figure and pulls on block A parallel to the surface of the plane. Block A has a mass of 3.00 kg and can slide along a rough plane inclined 30.0° to the horizontal. The coefficient of static friction between block A and the plane is 0.400. What mass should block B have in order to start block A sliding up the plane?

Homework Equations


http://ScrnSht.com/ftjykb
figure^^

The Attempt at a Solution


.4 x cos30 x 9.81 x 3kg = 10.2 =all forces down hill
ften = block b mass* 9.81
ftension must be equal to this to get the block started
10.2 = m x 9.81
m= 1kg
 
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algar32 said:
.4 x cos30 x 9.81 x 3kg = 10.2 =all forces down hill

This part is wrong. F_{gravity} = mgsin30 and F_{friction} = μmgcos30.
 
As pointed out by Tal444,
Tension will not be equal to 10.2

Tension is acting against two forces.
Force of friction and force of gravity (component along plane )
 
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