Posted by **Caitlin** on Saturday, January 1, 2011 at 6:47pm.

Consider the diagram of the box and bucket. If the coefficient of static friction is 0.5 and the coefficient of kinetic friction is 0.3, find the maximum mass of the bucket in order for the system to be in static equilibrium. If the block was given a slight nudge to get it moving, find the acceleration of the block and bucket.

(NOTE: The block has a mass of 28.0 kg. Also, the block and bucket are connected by a pulley. Block on the table, bucket hanging on the pulley off the end of the table.)

- Physics -
**Damon**, Saturday, January 1, 2011 at 7:21pm
first the static problem

28*9.8 = 274.4 N weight

274.4 * .5 = Tension in cord = 137.2 N

weight of bucket is then 137.2 N

mass of bucket = 137.2/9.8 = 14 kg

now how fast does it accelerate with mu = .3 and bucket weight of 137.2 ?

force of friction = 274.4*.3 = 82.3 N

T - 82.3 = 28 a

bucket weight down = 137.2 N

137.2 - T = 14 a

two linear equations, two unknowns

T -82.3 = 28 a

-T +137.2 = 14 a

-----------------------

54.9 = 42 a

a = 54.9/42

## Answer This Question

## Related Questions

- Phyiscs - A wooden box with a mass of 10.0kg rests on a ramp that is inclined at...
- physics - A wooden box with a mass of 10.0kg rests on a ramp that is inclined at...
- Physics, Science - A 26 kg block is connected to an empty 1 kg bucket by a cord ...
- Physics - A block of mass m1 is connected to an empty bucket of mass 1.35 kg by...
- physics - A 28.0 block is connected to an empty 2.20 bucket by a cord running ...
- Physics - A 28.0kg block is connected to an empty 1.80kg bucket by a cord ...
- Physics - A 26.0 kg block is connected to an empty 1.00 kg bucket by a cord ...
- Physics - A 26.0 kg block is connected to an empty 1.00 kg bucket by a cord ...
- Physical Science - A 28.0kg block is connected to an empty 1.80kg bucket by a ...
- physics - A string is tied to a 4.4 kg block and a 120 g bucket from a pulley. ...

More Related Questions