Question
Hard
Solving time: 4 mins
A billiard ball of mass and radius initially at rest, is given a sharp horizontal impulse by a cue. The cue is held horizontally a distance above the centre line as shown in figure.
The ball leaves the cue with a speed and, because of its "forward english" eventually acquires a final speed of , find the value of .
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Text solutionVerified
if cue imparts an impulse to ball and initial angular speed of ball is , we use
and
from (1) and (2)
Conserving angular momentum about a point on ground, we use
and
from (1) and (2)
Conserving angular momentum about a point on ground, we use
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Question Text | A billiard ball of mass and radius initially at rest, is given a sharp horizontal impulse by a cue. The cue is held horizontally a distance above the centre line as shown in figure. The ball leaves the cue with a speed and, because of its "forward english" eventually acquires a final speed of , find the value of . |
Topic | System of Particles and Rotational Motion |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 |
Upvotes | 86 |