Three forces P,Q and R act on particle and keep it in equlibrium If the angle between the force P and Q and between Q and R 120 degree , prove that P=Q=R.

Three equal forces acting at a point are in equalbrium . Show that they are equally inclinded to one another and conversely.

Two fine light string supported a weight W kg and are inclinded to the verticle angle 30 degree and 60 degree . Find the tension in the string.

 The end of a string 23cms long , are atteched to two point A and B in horizontal line. A weight 5 gms is fastened to a point C , of the string . find the tension in the string , if AB=17 cms and Ac = 8 cms when the weight is at rest.

Two string of length 4 m and 5 m are fastened to a particle of mass W kg. theur ends being fastened to point at the same level 6 m apart . find the tensions in the string.

A body of mass 26 N is suspended by two strings 5m and 12 m long their other end being fastened to the extremities of a rode 13 m long . If the rod be so held that the body hangs immediately below the middle point , find the yension of the strings.

A, B are fixed point in horizotal line at a distance apart. two light string AC and BC of length b and a respectively suppoted a mass at C . Show that the tensions of the strings are in the ratio\(b(c^2+a^2-b^2) :a(b^2+c^2-a^2)\).

Forces P,Q,R acting along OA,OB,OC in the plane of the \(\triangle\)ABC are in equalibrium . Prove that ,If O is the circumcentre of \(\triangle{ABC}\), then

a) \({P\over{sin2A} }={Q\over{sin2B}}={R\over{sin2C}}\)

b) \({P\over{a^2(b^2+c^2-a^2)}}={Q\over{b^2(c^2+a^2-b^2)}}={R\over{c^2(a^2+b^2-c^2)}}\)

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