Posted by emma on Sunday, May 6, 2012 at 4:26pm.
One 3.5 kg paint bucket is hanging by a massless cord from another 3.5kg paint bucket, also hanging by a massless cord, as shown in the figure .
Part a) If the buckets are at rest, what is the tension in lower and higher cord ?
Part b)If the two buckets are pulled upward with an acceleration of 1.55 by the upper cord, calculate the tension in the lower cord and upper cord

physics help plz  Elena, Sunday, May 6, 2012 at 5:11pm
(a) When the buckets are at rest, the tension in the cords just equal the weight that is suspended beneath them.
Each bucket weighs
m•g = 3.5• 9.8 = 34.3 N.
The lower bucket has gravity down of 34.3 N and the tension (T) in the lower string up, the acceleration is 0, so the Second Law F = ma looks like:
T – m•g = 0,
T =34.3 N.
The top bucket has the tension in the cord above it (T) the force of gravity of 34.3 N down and the tension of the lower string of 34.3 N downward on it. The acceleration of it is zero, so Second Law F = ma looks like:
T – 34.3 – 34.3 = 0,
T = 68 N.
(b)
When the buckets are at accelerating at 1.55 m/s² upwards, the tensions in the cord are more than the weight below them.
The lower bucket has gravity down of 34.3 N and the tension (T) in the lower string up and an upward acceleration of 1.55 m/s², so F = ma looks like:
T  m•g = m•a,
T =m•a+m•g = m• (a+g) = 3.5•(1.55+9.8) = 39.73N.
The upper bucket has its own weight of 34.3 N down and the tension in the upper string (T) up, and the tension in the lower string of 39.73N down. It has an upward acceleration of 1.55 m/s², so F = ma looks like:
T – 34.3 – 39.73 = ma,
T = 34.3+39.73+3•1.55 =78.68 N.
Answer This Question
Related Questions
 Physics  One 3.30 kg paint bucket is hanging by a massless cord from another 3....
 Physics  One 2.5 kg paint bucket is hanging by a massless cord from another 2.5...
 Physics  So I got a question One 3.5kg paint bucket is hanging by a massless ...
 Physics 30  One 3kg paint bucket is hanging by a massless cord from another 3kg...
 Physics  I posted this question earlier and I still don't get it So I got a ...
 physics  an initially resting 300g car is dragged along a horizontal ...
 physics  A block of mass m1 = 3.08 kg on a friction less plane inclined at ...
 PHY16102520  an initially resting 300g car is dragged along a horizontal ...
 physics  A block of mass m1 = 3.56 kg on a frictionless plane inclined at angle...
 physics  A 4.00 bucket of water is accelerated upward by a cord of negligible ...
More Related Questions