SATHEE: Kinematics Question 109

Kinematics Question 109

Question: The sum of the magnitudes of two forces acting at point is 18 and the magnitude of their resultant is 12. If the resultant is at 90° with the force of smaller magnitude, what are the, magnitudes of forces [Roorkee 1992; AIEEE 2002]

Options:

A) 12, 5

B) 14, 4

C) 5, 13

D) 10, 8

Show Answer

Answer:

Correct Answer: C

Solution:

Let P be the smaller force and Q be the greater force then according to problem
P + Q = 18 ……(i)

$R = \sqrt{P^{2} + Q^{2} + 2 P Q \cos θ} = 12$ …….(ii)

$\tan φ = \frac{Q \sin θ}{P + Q \cos θ} = \tan 90 = \infty$ $P + Q cos θ = 0$ …….(iii)

By solving (i), (ii) and (iii) we will get $P = 5,$ and $Q = 13$

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Kinematics Question 109

Question: The sum of the magnitudes of two forces acting at point is 18 and the magnitude of their resultant is 12. If the resultant is at 90° with the force of smaller magnitude, what are the, magnitudes of forces [Roorkee 1992; AIEEE 2002]

Options:

Answer:

Solution:

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