879 Views

The two forces of magnitude 24 and 7 units act at right angle . Find the resultant of the forces


naseer.palem 29th Sep, 2020
Answer (1)
Tunir Sikdar 29th Sep, 2020

Hi,

The two forces of magnitude 24 and 7 units act at right angle.

The vector law :

Let P and Q be two vectors acting simultaneously at a point and  θ be the angle between P and Q and R be the resultant vector.

R² =P² +2PQcosθ+Q²   (magnitude)

= tan - 1 ((Qsinθ/(P+Qcosθ))


Here magnitudes are 24 adn 7. θ=90°

So

The resultant of the two forces will be :

1. Magnitude : (24² )+(7² )= (576+49)= 625=25 units.

2. Direction; Suppose the vectors are 24i+7j, then the direction of the resultant will be:

= tan - 1 (7/24) in radian.


Hope this helps!

Exclusive Careers360 Premium Content

Get education, career guidance; live webinars; learning resources and more

Subscribe Now

Know More About

Related Questions

University of Southampton Del...
Apply
B.Sc (Hons) Admissions 2025 Now Open | Ranked Among the Top 100 Universities in the World by QS World University Rankings 2025 | Last Date: 28th Ap...
GMAT™ Exam
Apply
Unlock GMAT Success Timeline & Expert Videos | Select test center appointment | Scores valid for 5 Years | Multiple Attempts
Jindal Global Law School Admi...
Apply
Ranked #1 Law School in India & South Asia by QS- World University Rankings | Merit cum means scholarships | Regular Admissions Deadline: 30th Apr'25
TOEFL ® Registrations 2025
Apply
Accepted by 13,000 universities worldwide | Offered in 200+ countries | 40 million people have taken TOEFL Test
Study in USA
Apply
Universities inviting applications | Get expert guidance
Study in UK
Apply
Apply for upcoming intake & plan your journey
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books