Section 6.1 - Further Mechanics

Question 1

What kind of force is required to keep an object moving in a circle at constant speed?

Answer 1

A constant centripetal force (A force applied always towards the centre of that circle)

Question 2

An object moving in a circle at a constant speed is accelerating. True or False?

Answer 2

True
The direction is always changing, hence the velocity is always changing , where acceleration is defined as the change in velocity over time.

Question 3

What equation(s) can be used to calculate the magnitude of angular speed (w)?

Answer 3

w = v/r or w = 2Pif

w - s^-1
v - ms^-1
r - m
f - Hz

Question 4

What is the angular acceleration in terms of angular velocity?

Answer 4

A = w²r

A - ms^-2
w - s^-1
r - m

Question 5

What is angular acceding terms of velocity?

Answer 5

A = v²/r

Question 6

What are the equations for centripetal force?

Answer 6

F = mv²/r or F = mw²r

Question 7

What is a radian?

Answer 7

The angle of the circle sector such that the radius is equal to the arc length.

Radians are usually written in terms of Pi

I.e. 2Pi = 360°

Question 8

What are the conditions for SHM?

Answer 8

• Acceleration must be proportional to its displacement from the equilibrium point.
• it must aft towards the equilibrium point.
• a is proportional to -x