Question

t. Perform the pendulum experiment, fill the following table, print the graph, and calculate g from the slope. Length L Angular Frequency Period TS) wo) 0.20 0.25 0.30 0.35 Draw the resultant of these two forces, and find it analatically 02-45 F-4N

Answer 1

Problem-4

The x and y components of both the forces are

and

Similarly

and

Thus the x and y components of the resultant force are

and

Thus resultant force is

$\vec F = \sqrt{(F_x)^2 + (F_y)^2}$

by plugging all the values we get

$\vec F = \sqrt{(5.33)^2 + (1.5)^2}$

$\vec F = 5.54N$

and the direction is

$\theta = tan^{-1}(\frac{F_y}{F_x})$

$\theta = tan^{-1}(\frac{1.5}{5.33})$

$\theta = 15.72 ^\circ$

Hence the resultant force vector has a magnitude of 5.54N and is in the direction of 15.72 degrees positive from x axis.