Answer:
T = mg/6
Explanation:
Draw a free body diagram (see attached). There are two tension forces acting upward at the edge of the cylinder, and weight at the center acting downwards.
The center rotates about the point where the cords touch the edge. Sum the torques about that point:
∑τ = Iα
mgr = (1/2 mr² + mr²) α
mgr = 3/2 mr² α
g = 3/2 r α
α = 2g / (3r)
(Notice that you have to use parallel axis theorem to find the moment of inertia of the cylinder about the point on its edge rather than its center.)
Now, sum of the forces in the y direction:
∑F = ma
2T − mg = m (-a)
2T − mg = -ma
Since a = αr:
2T − mg = -mαr
Substituting expression for α:
2T − mg = -m (2g / (3r)) r
2T − mg = -2/3 mg
2T = 1/3 mg
T = 1/6 mg
The tension in each cord is mg/6.
Who conducted the study?
Explanation:
One good question to ask the toothpaste making company is who conducted the study?
A company making toothpaste claiming a scientific study revealed that their toothpaste makes the mouth five times cleaner must have introduced a bias in this finding.
- For a scientific study to be accepted and substantiated, it must have been tested and repeated by other scientists.
- If no other scientist confirms this, then there is an obvious bias in the claim and it is not scientific.
Learn more:
Objective reporting brainly.com/question/2242789
#learnwithBrainly
Yes it is, in other simplified terms density compares the amount of matter an object has to its volume.
Explanation:
Remember that power is defined as how much Work is done per unit of time.
Work is defined as the amount of force applied across a certain distance.
Since in both cases of climbing the ladder (on Earth and the moon), Luke coveres the same amount of <em>distance </em>in the same amount of <em>time</em>, we are only left with one difference between the two cases - gravity.
If you were to carry your backpack on the moon with the same load of text books, it would take less force to pick it up on the moon. Therefore, Luke expends less effort on the environment with less gravity - the moon.
To find the difference factor - you would want to divid the gravitational contants between earth and the moon.
