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Can you be a Theoretical Physicist in Classical Mechanics? [DIFFICULT]

10 Questions - Developed by: CynOffline - Developed on: 2018-06-06 - 1,486 taken - 2 people like it

A short, but difficult, quiz to see if you have what it takes to be a Theoretical Physicist in Classical Mechanics.

1

For which of the following is the magnitude of the Coriolis force <1?

Duldrum
Sink drain
Typhoon
None of the above

2

In a 2 body system, which energy values contribute to an elliptical orbit?

E = 0
E = 1
E < 0
E =/= 0
E > 0

3

For an asymmetric torque-free disc, how does e(3) [3rd component of the e-directional vector] change in time?

Precesses about L with with angular velocity L/I*
Remains constant
Tends to zero
Fluctuates at a rate proportional to -L/I*

4

What is the time period for the precession of Earth's equinoxes?

14 weeks
2 x 10^5 years
3 x 10^3 years
Every 6 months
30 days

5

What is the moment of inertia for a uniform sphere rotating about a point tangential to its surface?

4/5 MR^2
1/5 MR^2
2/5 MR^2
7/5 MR^2
MR^2

6

Translational invariance directly implies what?

Conservation of angular momentum
Conservation of energy
Conservation of momentum

7

Reduced mass is given by:

Mm/(m + M)
M^2/(m - 1)
(m + M)/mM
M
M/m

8

What is the correct expression w(3) for the rotation of the Earth?

W(3) = w(3) sin(lambda)
W(3) = w sin(lambda)
W(3) = w cos(lambda)
W(3) = - w cos(lambda)
W(3) = w(3) cos(lambda)

9

For a rotating table, which describes its acceleration to the right?

2we(1) x v(2)
-2we(2) x v(2)
-2we(3) x v(1)
-2we(2) x v(1)
2we(4) x v(3)

10

The deformation of the Earth around the equator is given by "change in R" = (w^2)(R^2)/g.

What is this in km?

10km
25km
40km
30km
20km

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