Consider a particle moving along a circle of radius pas shown in the figure. It travers point O along the arc of a circle. Its instantaneous speed at any point on the arc is p to P2, where I is the arc length traversed till that instant. The net acceleration of is indicated by a in the figure. It includes the centripetal acceleration ä̟ which is resp making it go along the circle. Determine the angle a between the net acceleration direction v of the instantaneous velocity at any instant of its motion.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section3.5: Tangential And Radial Acceleration
Problem 3.5QQ: A particle moves along a path, and its speed increases with time. (i) In which of the following...
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PI.12
Consider a particle moving along a circle of radius pas shown in the figure. It traverses from the
point O along the arc of a circle. Its instantaneous speed at any point on the arc is proportional
to P2, where / is the arc length traversed till that instant. The net acceleration of the particle
is indicated by a in the figure. It includes the centripetal acceleration ä which is responsible for
making it go along the circle. Determine the angle a between the net acceleration ä and the
direction v of the instantaneous velocity at any instant of its motion.
Foundations of Classical Mechanics
Transcribed Image Text:PI.12 Consider a particle moving along a circle of radius pas shown in the figure. It traverses from the point O along the arc of a circle. Its instantaneous speed at any point on the arc is proportional to P2, where / is the arc length traversed till that instant. The net acceleration of the particle is indicated by a in the figure. It includes the centripetal acceleration ä which is responsible for making it go along the circle. Determine the angle a between the net acceleration ä and the direction v of the instantaneous velocity at any instant of its motion. Foundations of Classical Mechanics
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