Friday

July 25, 2014

July 25, 2014

Posted by **Lissa.** on Saturday, May 31, 2014 at 4:34pm.

- Physics. -
**MathMate**, Saturday, May 31, 2014 at 6:35pmStart with a free-body diagram (FBD).

It solves most statics problems automatically when you isolate the system into individual pieces.

Start with the 500g block, mass m1.

Normal force=m1g

coefficient of friction, μ_{k}=0.25

Frictional force = μ_{k}m1g

Let tension in string, T

Acceleration, a = (T-μ_{k}mg)/m

=T/m1-μ_{k}g)

For the block at the other end of the string.

Net vertical force

=m2g-T

Acceleration, a

=(m2g-T)/m2

=g-T/m2

Since two accelerations must be equal, we have

T/m1-μ_{k}g) = g-T/m2

Solve for t and substitute into formulas above to get a, acceleration.

m1=0.500 kg

m2=0.300 kg

μ_{k}=0.25

You should get acceleration, a=2.1 m/s² approximately.

**Related Questions**

Physics - A block of mass m1 is on top of a block of mass m2. Block 2 is ...

physics - A 33.5 kg block m1 is on a horizontal surface, connected to a 6.50 kg...

physics - Block 1, of mass1 = 0.550kg , is connected over an ideal (massless ...

physics - A 33.3- kg block (m1) is on a horizontal surface, connected to a 5.1- ...

physics - A 33.3- kg block (m1) is on a horizontal surface, connected to a 5.1...

physics - block A (mass 2.04kg) rests on a tabletop. It is connected by a ...

pysics - A 33.3- kg block (m1) is on a horizontal surface, connected to a 5.1-kg...

Physics - A block of mass 2.48 kg is kept at rest as it compresses a horizontal ...

Physics - A block of mass 2.48 kg is kept at rest as it compresses a horizontal ...

physics - A 25.5- kg block (m1) is on a horizontal surface, connected to a 5.7- ...