Question

Download Solution PDF

Two forces of equal magnitude (F) act at an angle of β to each other. The resultant of these forces will be given by:

This question was previously asked in
APPSC Lecturer (Polytechnic Colleges) Held on March 2020
Download PDF Attempt in App
View all APPSC Polytechnic Lecturers Papers >
  1. 2F
  2. 2F × cos β
  3. 2F × cos (β/2)  
  4. F × cos (β/2)

Answer (Detailed Solution Below)

Option 3 : 2F × cos (β/2)  

Detailed Solution

Download Solution PDF

Concept:

If two forces of equal magnitude (F) act at an angle of β to each other, then the resultant of these forces is given by

       

       

Download Solution PDF
Latest APPSC Polytechnic Lecturers Updates

Last updated on May 17, 2025

-> The APPSC Polytechnic Lecturer exam has been postponed.

-> The APPSC Polytechnic Lecturer Notiifcation was released for 99 vacancies.

-> Candidates with a Bachelor’s Degree in the respective discipline are eligible for this post.

-> Prepare for the exam with APPSC Polytechnic Lecturer Previous Year Papers.

Exams Tests Super Practice

More Rectangular components of a vector Questions

Q1.The component of a vector r along X-axis will have maximum value if
Q2.Figure 4.1 shows the orientation of two vectors u and v in the XY plane. If u = \(a\widehat i + b\widehat j\) and v = \(p\widehat i + q\widehat j\) which of the following is correct?
Q3.The angle between two vectors \(\bar{A} = 4\hat{i}+3\hat{j}-4\hat{k}\) and \(\bar{B} = 4\hat{i}+3\hat{j}+6\hat{k}\) is- (Given, Cos-1(\(\frac{1}{ \sqrt2501}\)) = 89°)
Q4.Two light strings support a weight W kg and are inclined to the vertical at angles 30° and 60°. Then the tensions in the strings are -  
Q5.Two forces of equal magnitude (F) act at an angle of β to each other. The resultant of these forces will be given by:

More Vectors Questions

Q1.The angle between two equal vectors is
Q2.Two forces of 5⋅0 N each are acting on a point mass. If the angle between the forces is 60°, then the net force acting on the point mass has magnitude close to :
Q3.If \(\rm\overrightarrow{r}\) = xî + yĵ + zk̂, then (\(\rm\overrightarrow{r}\) × î)⋅(\(\rm\overrightarrow{r}\) × ĵ) + xy = ________
Q4.The vector \(\rm\overrightarrow{r}\) = 4î + 8ĵ + k̂ is inclined to x-axis at an angle of
Q5.Area of parallelogram whose diagonals are \(\rm\overrightarrow{d_1}\) = 5î and \(\rm\overrightarrow{d_2}\) = 2ĵ is _______
Q6.If \(\rm\overrightarrow{a}\) = 2î + ĵ + 3k̂ and \(\rm\overrightarrow{b}\) = 3î + 5ĵ − 2k̂, then \(\rm |\overrightarrow{a} \times \overrightarrow{b}|\) = ________
Q7.Value of [î + ĵ + k̂, î − ĵ + k̂, î + ĵ − k̂] = ________
Q8.Given \(\rm\overrightarrow{AB}\) = 3î − ĵ − 5k̂ and coordinates of the terminal points are (9, 1, 3), then the co-ordinates of the initial point is ________.
Q9.Two forces each numerically equal to 5 N are acting as shown in the given figure. The resultant force has magnitude:
Q10.The values of a and b for which the force F = (axy + z3) î + \( \,{x^2}\hat j + bx{z^2}\hat k\) is conservative are
Suggested Test Series
View All >
AP High Court (All Posts) Mock Test Series 2025
125 Total Tests with 1 Free Tests
Start Free Test
AP High Court Stenographer, Junior/Field Assistant & Typist Mock Test 2022
164 Total Tests with   2 Free Tests
Start Free Test

AAI JE ATC Important Links

ResultCut OffAnswer KeyExam AnalysisAdmit CardEligibility Criteria

More Physics Questions

Q1.What is the region around a magnet where the magnetic force is experienced known as?
Q2.What is the angle that is formed between the incident ray and the normal line called?
Q3.If the force acting on the body is zero, then its momentum is -
Q4.A bat emits ultrasonic sound of frequency 1000 kHz in air. If the sound gets reflected from a water surface, the wavelength of the reflected sound will be _______. (Speed of sound in air is 340 ms-1)
Q5.What is the SI unit of current?
Q6.Torque acting on electric dipole moment \(\overrightarrow{P}\) placed in uniform electric field \(\overrightarrow{E}\) is 
Q7.Demodulation is essential feature of a
Q8. If the particles are moving with same velocity, then maximum de-Broglie wavelength is for
Q9.Image formed by an objective of a compound microscope is
Q10.Which of the following has smallest wavelength
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti dhani teen patti master gold apk teen patti 100 bonus