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Question

Two forces act at an angle of 1200. If the greater force is 50 N and their resultant is perpendicular to the smaller force, the smaller force is ________ N.

दो बल 1200 के कोण पर कार्य करते हैं। यदि बड़ा बल 50 N है और उनका परिणाम छोटे बल के लंबवत है, तो छोटा बल ________ N है।

A.

20

B.

25

C.

30

D.

35

Answer ( Option B)

25

Solution

..Method 1..

Let, the forces are F1 and F2and Fis the greater force of magnitude 50N

                   

Now, from the figure

Hence, the correct option is (B).

..Method 2..

Let, angle between forces F1 and F2be 0 (i.e.,0 = 1200and angle between force F1 and resultant (R) is a.

Now we know that,

Hence, the correct option is (B).  

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