Centre of Mass 3 Question 26

29. The magnitude of the force (in Newtons) acting on a body varies with time t (in microseconds) as shown in the figure. AB,BC and CD are straight line segments. The magnitude of the total impulse of the force on the body from t=4μs to t=16μs is .. N-s.

(1994, 2M)

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Answer:

Correct Answer: 29. 32mv2

Solution:

  1. Impulse =Fdt= area under F - t graph

Total impulse from t=4μs to t=16μs

= Area EBCD

= Area of trapezium EBCF+ Area of triangle FCD

=12(200+800)2×106+12×800×10×106

=5×103Ns



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