Question:
Two vectors inclined at an angle $\theta$ have magnitude 3 N and 5 N and their resultant is of magnitude 4 N. The angle $\theta$ is
Two vectors inclined at an angle $\theta$ have magnitude 3 N and 5 N and their resultant is of magnitude 4 N. The angle $\theta$ is
Updated On: Jul 7, 2022
- $90^\circ$
- $cos^{-1}\left(\frac{4}{5}\right)$
- $cos^{-1}\frac{3}{5}$
- $cos^{-1}\left(-\frac{3}{5}\right)$
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The Correct Option is D
Solution and Explanation
If it possible when the angle between 3 & 5 is greater than $90^{\circ}$
$R = \sqrt{P^2 + Q^2 + 2PQ \, \cos \,\theta}$
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Notes on Motion in a plane
Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration