NIMCET 2020 Question Paper with solutions

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Question : 31 of 120

Marks: +1, -0

Two forces

F_{1}

and

F_2

are used to pull a car, which met an accident. The angle between the two forces is 0. Find the value of 0 for the resultant force is equal to

√{F^{1}_{2} + F^2_2)}

.

θ = 0
θ =45
θ =90
θ = 135

Solution:

F↖{r}=F↖{r}_1+F↖{r}_2\;\;(F↖{r}=√{(F↖{r}_1)^2+(F↖{r}_2)^2}

|F|↖{r}=√{(F↖{r}_1)^2+(F↖{r}_2)^2+2F_1↖{r}F_2↖{r}\cos q

F↖{r}=√{(F_1)^2+(F_2)^2}=√{(F↖{r}_1)^2+(F↖{r}_2)^2+2F_1↖{r}F_2↖{r}\cos q

\cos θ=0°

θ=90°

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