Question

Create a plot comparing the force applied to an object versus the angle at which the force is applied. Alos, plate describe the graph in paragraph form.

Answer 1

Let us consider a Unit force (1N) is applied on an object. If we are considering applied force suspend an angle θ with respect to the reference (viz. displacement etc.), them resultant force on an object w.r.to reference is given by F_R = F_A cosθ, where F_R is force experienced by the object along Reference and  F_A is force applied on the object.

A graph is plotted between different values of θ for constant applied force.

Applied Force (FA)	θ	Resultant Force (FR=FAcos θ)
1 N	0	1
1 N	15	0.965
1 N	30	0.866
1 N	45	0.707
1 N	60	0.5
1 N	75	0.258
1 N	90	0
1 N	105	-0.258
1 N	120	-0.5
1 N	135	-0.707
1 N	150	-0.866
1 N	165	-0.965
1 N	180	-1
1 N	195	-0.965
1 N	210	-0.866
1 N	225	-0.707
1 N	240	-0.5
1 N	255	-0.258
1 N	270	0
1 N	285	0.258
1 N	300	0.5
1 N	315	0.707
1 N	330	0.866
1 N	345	0.965
1 N	360	1

Graph Interpretation:

1. When θ = 0, Resultant force F_R = F_A (applied force)

2. When 0 < θ < 90, with the increase θ, F_R decreases.

3. At θ = 90, F_R = 0 ( since cos90 = 0)

4. Between 90 < θ < 180, F_R becomes opposite to F_A.

5. At θ = 180, F_R = - F_A.

6. Between 180 < θ < 270, the magnitude of F_R will decrease but will remain in opposite in direction with F_A.

7. At θ = 270, F_R = 0 (since cos 270 = 0)

8. Between 270 < θ < 360 (= 0), F_R increases and become maximum along F_A.