How Does Accelerating a Pulley Affect the Force Exerted by the Rope on a Block?

[konichiwa2x]

Hi,

Two weights w1 and w2 are suspended from the ends of a light string over a smooth pulley. If the pulley is pulled up at the free end of the rope, then what will be the force exerted by the rope on the block?

I can find out the tension and acceleration if the pulley was not accelerating. How do I this?

EDIT: string

 

[OlderDan]

Hi,

Two weights w1 and w2 are suspended from the ends of a light spring passing over a smooth pulley. If the pulley is pulled up at the free end of the rope, then what will be the force exerted by the rope on the block?

I can find out the tension and acceleration if the pulley was not accelerating. How do I this?

Does it really say light spring, or is it string?
In any case, you need to look at the free body diagrams for the weights, recognizing that the tension is constant throughout the s(t/p)ring. If the block has negligable mass, the force exerted by the rope is twice the tension, just as it would be with no acceleration. It seems there must be more information than what you stated. You cannot find both the force and the accelerations knowing only that the weights are connected.

 

[kyle8921]

is not massless

I would approach this problem by first identifying the variables involved and using the principles of Newton's Laws of Motion to solve for the unknowns. In this case, the two weights w1 and w2 would have a downward force due to gravity, while the tension in the string and the force exerted by the rope on the block would be acting in the opposite direction.

To find the force exerted by the rope on the block, we can use the formula F = ma, where F is the force exerted by the rope, m is the mass of the block, and a is the acceleration of the block. Since the string is not massless, we would also need to consider the mass of the string in our calculations.

We can also use the principle of conservation of energy to solve for the tension in the string. As the pulley is pulled up, the potential energy of the weights is converted into kinetic energy, and the tension in the string is equal to the sum of the weights.

Overall, solving this problem would require a combination of mathematical calculations and understanding of fundamental physics principles.