Newton's laws of motion -- Constaint motion

[Vv anand]

Homework Statement

In the following diagram a massless pulley is pulled by a constant force of magnitude P. There is no friction between the block and the floor. The acceleration produced in the block if mass m is? PIC ATTACHED

Homework Equations

Took a1/2=a2 where a1 is accn of block and a2 is accn of pulley since a3 that is accn of the string attached to wall is 0

The Attempt at a Solution

tried solving by taking acceleration but found that pulley is massless so I'm pretty confused atm and pls help me and clear my doubt

 

[Vv anand]

Answer is P/2M but i end up getting P/M

 

[Chestermiller]

If P is the force pulling the pulley, what is the tension in the wire?

 

[Vv anand]

That is not given sir...and P is the force pulling pulley

If P is the force pulling the pulley, what is the tension in the wire?

 

[Chestermiller]

That is not given sir...and P is the force pulling pulley

Have you drawn a free body diagram of the pulley, or do you feel that you have advanced beyond the point where you need to use free body diagrams? From a free body diagram of the pulley, what are the three forces acting on the (massless) pulley?

 

[Vv anand]

If P is the force pulling the pulley, what is the tension in the wire?

Yes sir P is the force on the pulley,
Tension is not given..I calculated it as MG as There does not exist any other force that exists on M (surface is frictionless)

 

[Vv anand]

Yes sir P is the force on the pulley,
Tension is not given..I calculated it as MG as There does not exist any other force that exists on M (surface is frictionless)

Have you drawn a free body diagram of the pulley, or do you feel that you have advanced beyond the point where you need to use free body diagrams? From a free body diagram of the pulley, what are the three forces acting on the (massless) pulley?

I hv drawn it..just had the doubt that Is P=2T?

 

[Chestermiller]

I hv drawn it..just had the doubt that Is P=2T?

Let's see your diagram.

 

[Chestermiller]

Yes sir P is the force on the pulley,
Tension is not given..I calculated it as MG as There does not exist any other force that exists on M (surface is frictionless)

You don't think that the wire tension is acting on the mass?

 

[Vv anand]

Let's see your diagram.

Of course sir

 

[Vv anand]

You don't think that the wire tension is acting on the mass?

Yes sir i just uploaded the fbd

 

[Vv anand]

Is it correct...By doing this i get the answer

 

[Chestermiller]

So, as you have found from your fbd, P=2T. So, ma=T=P/2

 

[Vv anand]

So, as you have found from your fbd, P=2T. So, ma=T=P/2

Wow!...I calculated it myself... Hats off to ur organization sir...Really obliged to get to know about ur organization ..Will surely recommend it to others