Numerical - Magnitude of resultant forces for Concurrent forces

Q.  If two concurrent forces A and B acting on a point are 200 N and 300 N. What is the magnitude of resultant force, if it makes an angle of 50o with each force?
- Published on 18 Sep 15

a. 471.08 N
b. 455.12 N
c. 400.56 N
d. Insufficient data

ANSWER: 455.12 N

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    Discussion

  • Sravanthi   -Posted on 14 Dec 15
    Given: θ = 50°, force A = 200 N, force B = 300 N

    Formula: Resultant force = √A2 + B2 + 2 AB cos 50

    Solution:

    Resultant force = √A2 + B2 + 2 AB cos 50

    = √2002 + 3002 + 2 x 200 x 300

    = 455.12 N

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