Answer:
Tension on each chain: 30.28N
Explanation:
We start by drawing a free-body diagram of all the forces acting on the flower pot. These are:
1) the weight of the flower pot which is the product of the pot's mass time the acceleration of gravity "g" (pictured in green and represented by in the diagram), and
2) the two tensions in the chains, which since they are symmetric, are of the same size, pictured in red color and represented by the letter "T" in the diagram.
We also decompose the tensions T in two components each (a vertical component V and a horizontal component h) which are pictured in blue.
All vertical forces must cancel out since the object is in static equilibrium, so:
The horizontal components h are equal, and since they act in opposite directions, they indeed cancel out.
Now to calculate the tension, we use the fact that we know the angle between T and the component V. They in fact are related via the cosine of the angle because they are the hypotenuse and the adjacent side in a right angle triangle:
Answer:
1 m
Explanation:
Given that
Mass of the child, m = 15 kg
Distance of the pivot, d = 1.5 m
Force applied, F = 220 N
To solve this problem, we first need to find the torque around the pivot.
Torque, t = mgd, where
m is the mass of the child
g is the acceleration due to gravity and
d is the distance of the pivot.
Thus, we can say that the torque is
T = 15 * 9.8 * 1.5
T = 220.5 Nm
This torque we have gotten would be used to find the distance, using the inverse of the equation.
T = F * d
d = T / F
d = 220.5 / 220
d = 1 m
Therefore, the minimum distance on the other side of the pivot required is 1 m
Answer:
Vesicular texture refers to volcanic rocks that contain holes called vesicles that were formed by gas bubbles in lava. This igneous rock is called scoria. The vesicles form from escaping gas bubbles in cooling lava.