The rock has a mass of 1 kg. What is the mass of the measuring stick if it is balanced by a support force at the one-quarter mark? The centre of mass of the measuring stick is at the one-half mark, one-quarter of the sticks length beyond the pivot.a)0.5 kgb)4 kgc)2 kgd)1 kgCorrect answer is option 'D'. Can you explain this answer?

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The rock has a mass of 1 kg. What is the mass of the measuring stick if it is balanced by a support force at the one-quarter mark? The centre of mass of the measuring stick is at the one-half mark, one-quarter of the stick’s length beyond the pivot.

a)
0.5 kg
b)
4 kg
c)
2 kg
d)
1 kg

Correct answer is option 'D'. Can you explain this answer?

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The rock has a mass of 1 kg. What is the mass of the measuring stick i...

The stick is balanced by the 1 kg rock that is one-quarter of its length to the left and by its own weigh which is at the Centre of Mass, one-quarter of its length to the right. Therefore, the mass of the stick must be one kilogram, 1 kg.

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Position of centre of massIn a uniform gravitational field the centre of mass coincide with the centre of gravity. But these two points do not always coincide, however. For example, the Moon’s centre of mass is very close to its geometric centre (it is not exact because the Moon is not a perfect uniform spher e), but its centre of gravity is slightly displaced towards Earth because of the stronger gravitational force on the Moon’s near side facing the earth. If an object does not have a uniform weight distribution then the center of mass will be closer to where most of the weight is located. For example, the center of gravity for a hammer is located close to where the head connects to the handle. The center of mass can be located at an empty point in space, such as the center of a hollow ball. The center of gravity can even be completely outside of an object, such as for a donut or a curved banana.Standing upright, an adult human’s centre of mass is located roughly at the center of their torso. The centre of mass rises a few inches when with rising arms.The center of gravity can even be at a point outside the body, such as when bent over in an inverted-U pose.An object is in balanced position if its center of gravity is above its base of support. For the two cylinders below, the left cylinder’s CG is above the base of support so the upward support force from the base is aligned with the downward force of gravity. For the cylinder on the right the CG is not above the base of support so these two forces cannot align and instead create a torque that rotates the object, tipping it over.Identical blocks are connected as shown. Where the center of mass is expected to be located?

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