Question

obtain expression for resultant of two vectors and it's direction using law of parallelogram of vectors​

Answer 1

Explanation:

Turbines are used in wind power, hydropower, in heat engines, and for propulsion. Turbines are extremely important because of the fact that nearly all electricity is produced by turning mechanical energy from a turbine into electrical energy via a generator.

Answer 2

Parallelogram law:-

According to this law,

If both a vectors are represented in both magnitude and direction by the two adjacent sides of a parallelogram taken from common point then resultant will also represented by both magnitude and direction by diagonal tekan from common point.

Analytical Treatment:-

In ∆PKM

(PK)² = (PM)² + (KM)²

R² = (PN + NM)² + (KM)²

R² = ( A + B cos theta )²+ (B sin theta )²

R² = A² + B² cos² theta + 2AB cos theta + B² sin²theta

R² = A² + B² ( cos² theta + sin²theta) + 2AB cos theta

R² = A² + B²+ 2AB cos theta

$\sf{} \bold{}R = \sqrt{A {}^{2} + B {}^{2} + 2 \: AB \: cos \: theta}$

Also, for direction

Tan alpha = B sin theta / A + B cos theta