SATHEE: Kinematics Question 444

Kinematics Question 444

Question: The sum of the magnitudes of two forces acting at point is 18 and the magnitude of their resultant is 12. If the resultant is at $90^{\circ}$ with the force of smaller magnitude, what are the magnitudes of forces?

Options:

A) 12, 5

B) 14, 4

C) 5, 13

D) 10, 8

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Let p be the smaller force and Q be the greater force then according to problem

$P_{i} + Q = 18$ … (i)

$R = \sqrt{P^{2} + Q^{2} + 2 P Q \cos θ} = 12$ … (ii)

$\tan ϕ = \frac{Q \sin θ}{P + Q \cos θ} = \tan 90^{o} = \infty$

$∴$ $P + Q \cos θ = 0$ … (iii) By solving Eqs. (i), (ii) and (iii) we will get $P = 5$ and $Q = 13$ .

पिछला

अगला

गोपनीयता नीति

द्वारा संचालित Prutor@IITK

sathee@iitk.ac.in

SATHEE का मीडिया कवरेज

खेल स्टोर

ऐप स्टोर

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Kinematics Question 444

Question: The sum of the magnitudes of two forces acting at point is 18 and the magnitude of their resultant is 12. If the resultant is at 90∘ with the force of smaller magnitude, what are the magnitudes of forces?

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Menu

Question: The sum of the magnitudes of two forces acting at point is 18 and the magnitude of their resultant is 12. If the resultant is at $90^{\circ}$ with the force of smaller magnitude, what are the magnitudes of forces?