M2 - Unit 5

Question 0

How to find the weighted mean, x bar?

Answer 0

1. Separate the parts.
2. Multiply their mass by how far away their centre of mass is from the hinge.
3. Add these together. They are equal to the total mass multiplied by x bar.

Question 1

Where is the centre of mass for a symmetrical uniform object?

Answer 1

Half way along.

Question 2

How to find the centre of mass of a 2d object?

Answer 2

Use a graph and separate the distance to the centre of mass into x and y. There will be two weighted means, x bar and y bar.

Question 3

How to find the mass of a 2d object?

Answer 3

Find the volume/area and times this by k, a constant.

Question 4

For an object standing on a surface in equilibrium, where do the weight and the resultant contact force act?

Answer 4

Along the same line, the centre of mass. The centre of mass is directly above the point where the resultant contact force can act.