Pully with 2 blocks friction question

In summary, the problem involves two blocks connected by a string and an ideal pulley, with the goal of determining the mass of block B needed to start block A sliding up an inclined plane. Block A has a mass of 3.00 kg and a coefficient of static friction of 0.400 on the plane. The solution involves calculating the forces acting on block A, including gravity and friction, and setting them equal to the tension in the string, which will allow for solving for the mass of block B.
  • #1
algar32
89
1

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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  • #2
algar32 said:
.4 x cos30 x 9.81 x 3kg = 10.2 =all forces down hill

This part is wrong. F[itex]_{gravity}[/itex] = mgsin30 and F[itex]_{friction}[/itex] = μmgcos30.
 
  • #3
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 )
 

Related to Pully with 2 blocks friction question

1. How does friction affect the motion of a pulley with two blocks?

Friction between the pulley and the blocks can cause a decrease in the efficiency of the pulley system, resulting in less force being transferred from one block to the other.

2. What is the purpose of using two blocks in a pulley system?

The use of two blocks allows for a change in direction of the applied force, making it easier to lift heavy objects or change the direction of motion.

3. How do you calculate the force required to move two blocks with a pulley?

The force required to move the blocks can be calculated using the equation F = m x a, where F is the force, m is the mass of the blocks, and a is the acceleration of the blocks.

4. What factors can affect the friction between the pulley and the blocks?

The friction between the pulley and the blocks can be affected by the type of material used for the pulley and blocks, the surface texture, and the amount of weight being lifted.

5. Can the direction of the applied force affect the motion of the pulley with two blocks?

Yes, the direction of the applied force can determine the direction of motion for the blocks and the pulley. For example, if the force is applied in the opposite direction of the desired motion, the blocks will not move or may move in the opposite direction.

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