A very small steel marble is shown rolling at a constant speed on a horizontal table. The marble leaves the table at M, falls, and hits the ground at L. This is illustrated in the diagram below which is drawn to scale. Calculate the time it took the marble to travel from N to L. y (in cm) 80 70 60 50 40 30 20 10 0 N I Ĵ E 0 10 20 30 40 50 60 70 80 90 100 x (in cm)
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
From graph we have to answer the time marble took to travel from N to L
From graph distance between N and M = 50 - 20
dM-N = 30 cm = 0.30 m
From graph distance between M and L = 50 - 0
dL-M = 50 cm = 0.50 m
horizontal distance between M and L = 80 - 50
xL-M = 30 cm = 0.30 m
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