Rotational Motion Question 107

Question: In a system of particles 8 kg mass is subjected to a force of 16 N along +vexaxis and another 8 kg mass is subjected to a force of 8 N along +veyaxis . The magnitude of acceleration of centre of mass and the angle made by it with xaxis are given respectively by

Options:

A) 52ms2,θ=450

B) 35ms2,θ=tan1(2/3)

C) 52ms2,θ=tan1(1/2)

D) 1ms2,θ=tan13

Show Answer

Answer:

Correct Answer: C

Solution:

[c]

m1x1=m2x2

acm=Fm=16i^+8j^16=i^+12j^

|acm|=12+(12)2=52 m/s2

tanθ=1/21θ=tan1(12)



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