Laws Of Motion Question 340

Question: An insect of mass m, starts moving on a rough inclined surface from point A. As the surface is very sticky, the coefficient of friction between the insect and the incline isμ=1 . Assume that it can move in any direction, up the incline or down the incline then

Options:

A) The maximum possible acceleration of the insect can be 14m/s2

B) The maximum possible acceleration of the insect can be m/s2

C) the insect can move with a constant velocity

D) the insect cannot move with a constant velocity

Show Answer

Answer:

Correct Answer: C

Solution:

[c] mgsinθ+mgcosθ=ma

a=gsinθ+gcosθ=10[35+45]=14m/sec2

Iffr=mgsinθ

=mg×35=3mg5<frmax

fr<frmax

3mg5<4mg5

Hence, insect can move with constant velocity.



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