269860
Two vectors inclined at an angle\(\theta\) have magnitude \(3 \mathrm{~N}\) and \(5 \mathrm{~N}\) and their resultant is of magnitude \(4 \mathrm{~N}\). The angle \(\theta\) is
1 \(90^{\circ}\)
2 \(\cos ^{-1} \frac{4}{5}\)
3 \(\cos ^{-1} \frac{3}{5}\)
4 \(\cos ^{-1} \theta-\frac{3}{5} \theta\)
Explanation:
\(R^{2}=P^{2}+Q^{2}+2 P Q \cos \theta\)
Motion in Plane
269898
Two forces each of\(20 \mathrm{~N}\) act on a body at \(120^{\circ}\). The magnitude and direction of resultant is
\(R=2 F \cos 60=F, \alpha=\frac{\theta}{2}\)
makes equal angle with both vectors
Motion in Plane
269899
Two forces whose magnitudes are in the ratio\(3: 5\) give a resultant of \(35 \mathrm{~N}\). If the angle between them is \(60^{\circ}\), the magnitude of each force is
1 \(3 \mathrm{~N}, 5 \mathrm{~N}\)
2 \(9 \mathrm{~N}, 25 \mathrm{~N}\)
3 \(15 \mathrm{~N}, 25 \mathrm{~N}\)
4 \(21 \mathrm{~N}, 35 \mathrm{~N}\)
Explanation:
\(\frac{P}{Q}=\frac{3}{5}\) (given) ; Let \(\mathrm{P}=3 \mathrm{x}\) and \(\mathrm{Q}=5 \mathrm{x}\)
Motion in Plane
269900
The resultant of two forces\(2 P\) and \(\sqrt{2} P\) is \(\sqrt{10} P\). The angle between the forces is
1 \(30^{\circ}\)
2 \(60^{\circ}\)
3 \(45^{\circ}\)
4 \(90^{\circ}\)
Explanation:
\[ R=\sqrt{P^{2}+Q^{2}+2 P Q \cos \theta} \]
\(R^{2}=P^{2}+Q^{2}+2 P Q \cos \theta\)
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Motion in Plane
269860
Two vectors inclined at an angle\(\theta\) have magnitude \(3 \mathrm{~N}\) and \(5 \mathrm{~N}\) and their resultant is of magnitude \(4 \mathrm{~N}\). The angle \(\theta\) is
1 \(90^{\circ}\)
2 \(\cos ^{-1} \frac{4}{5}\)
3 \(\cos ^{-1} \frac{3}{5}\)
4 \(\cos ^{-1} \theta-\frac{3}{5} \theta\)
Explanation:
\(R^{2}=P^{2}+Q^{2}+2 P Q \cos \theta\)
Motion in Plane
269898
Two forces each of\(20 \mathrm{~N}\) act on a body at \(120^{\circ}\). The magnitude and direction of resultant is
\(R=2 F \cos 60=F, \alpha=\frac{\theta}{2}\)
makes equal angle with both vectors
Motion in Plane
269899
Two forces whose magnitudes are in the ratio\(3: 5\) give a resultant of \(35 \mathrm{~N}\). If the angle between them is \(60^{\circ}\), the magnitude of each force is
1 \(3 \mathrm{~N}, 5 \mathrm{~N}\)
2 \(9 \mathrm{~N}, 25 \mathrm{~N}\)
3 \(15 \mathrm{~N}, 25 \mathrm{~N}\)
4 \(21 \mathrm{~N}, 35 \mathrm{~N}\)
Explanation:
\(\frac{P}{Q}=\frac{3}{5}\) (given) ; Let \(\mathrm{P}=3 \mathrm{x}\) and \(\mathrm{Q}=5 \mathrm{x}\)
Motion in Plane
269900
The resultant of two forces\(2 P\) and \(\sqrt{2} P\) is \(\sqrt{10} P\). The angle between the forces is
1 \(30^{\circ}\)
2 \(60^{\circ}\)
3 \(45^{\circ}\)
4 \(90^{\circ}\)
Explanation:
\[ R=\sqrt{P^{2}+Q^{2}+2 P Q \cos \theta} \]
\(R^{2}=P^{2}+Q^{2}+2 P Q \cos \theta\)
269860
Two vectors inclined at an angle\(\theta\) have magnitude \(3 \mathrm{~N}\) and \(5 \mathrm{~N}\) and their resultant is of magnitude \(4 \mathrm{~N}\). The angle \(\theta\) is
1 \(90^{\circ}\)
2 \(\cos ^{-1} \frac{4}{5}\)
3 \(\cos ^{-1} \frac{3}{5}\)
4 \(\cos ^{-1} \theta-\frac{3}{5} \theta\)
Explanation:
\(R^{2}=P^{2}+Q^{2}+2 P Q \cos \theta\)
Motion in Plane
269898
Two forces each of\(20 \mathrm{~N}\) act on a body at \(120^{\circ}\). The magnitude and direction of resultant is
\(R=2 F \cos 60=F, \alpha=\frac{\theta}{2}\)
makes equal angle with both vectors
Motion in Plane
269899
Two forces whose magnitudes are in the ratio\(3: 5\) give a resultant of \(35 \mathrm{~N}\). If the angle between them is \(60^{\circ}\), the magnitude of each force is
1 \(3 \mathrm{~N}, 5 \mathrm{~N}\)
2 \(9 \mathrm{~N}, 25 \mathrm{~N}\)
3 \(15 \mathrm{~N}, 25 \mathrm{~N}\)
4 \(21 \mathrm{~N}, 35 \mathrm{~N}\)
Explanation:
\(\frac{P}{Q}=\frac{3}{5}\) (given) ; Let \(\mathrm{P}=3 \mathrm{x}\) and \(\mathrm{Q}=5 \mathrm{x}\)
Motion in Plane
269900
The resultant of two forces\(2 P\) and \(\sqrt{2} P\) is \(\sqrt{10} P\). The angle between the forces is
1 \(30^{\circ}\)
2 \(60^{\circ}\)
3 \(45^{\circ}\)
4 \(90^{\circ}\)
Explanation:
\[ R=\sqrt{P^{2}+Q^{2}+2 P Q \cos \theta} \]
\(R^{2}=P^{2}+Q^{2}+2 P Q \cos \theta\)
269860
Two vectors inclined at an angle\(\theta\) have magnitude \(3 \mathrm{~N}\) and \(5 \mathrm{~N}\) and their resultant is of magnitude \(4 \mathrm{~N}\). The angle \(\theta\) is
1 \(90^{\circ}\)
2 \(\cos ^{-1} \frac{4}{5}\)
3 \(\cos ^{-1} \frac{3}{5}\)
4 \(\cos ^{-1} \theta-\frac{3}{5} \theta\)
Explanation:
\(R^{2}=P^{2}+Q^{2}+2 P Q \cos \theta\)
Motion in Plane
269898
Two forces each of\(20 \mathrm{~N}\) act on a body at \(120^{\circ}\). The magnitude and direction of resultant is
\(R=2 F \cos 60=F, \alpha=\frac{\theta}{2}\)
makes equal angle with both vectors
Motion in Plane
269899
Two forces whose magnitudes are in the ratio\(3: 5\) give a resultant of \(35 \mathrm{~N}\). If the angle between them is \(60^{\circ}\), the magnitude of each force is
1 \(3 \mathrm{~N}, 5 \mathrm{~N}\)
2 \(9 \mathrm{~N}, 25 \mathrm{~N}\)
3 \(15 \mathrm{~N}, 25 \mathrm{~N}\)
4 \(21 \mathrm{~N}, 35 \mathrm{~N}\)
Explanation:
\(\frac{P}{Q}=\frac{3}{5}\) (given) ; Let \(\mathrm{P}=3 \mathrm{x}\) and \(\mathrm{Q}=5 \mathrm{x}\)
Motion in Plane
269900
The resultant of two forces\(2 P\) and \(\sqrt{2} P\) is \(\sqrt{10} P\). The angle between the forces is
1 \(30^{\circ}\)
2 \(60^{\circ}\)
3 \(45^{\circ}\)
4 \(90^{\circ}\)
Explanation:
\[ R=\sqrt{P^{2}+Q^{2}+2 P Q \cos \theta} \]
\(R^{2}=P^{2}+Q^{2}+2 P Q \cos \theta\)