46. A dynamometer D is attached to two masses mı = 3
kg and m2 = 5 kg. Forces of fi = 9 N and f2 = 25 N are
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☛Let m1 of mass 3 kg and m2 of mass 5 kg are connected to dynamometer as shown in figure.
☛Let D is the force pulling the masses towards dynamometer.
☛Let a be the acceleration of masses due to the forces acting on them.
• Newtons law applied to m1 : D -9= 3×a ........................(1)
• Newtons law applied to m2 : 25 - D = 5×a ........................(2)
☛By adding eqns.(1) and (2), we get 16 = 8×a or a = 2 m/s2
✎ By substituting a in eqn.(1), we get, D = 15 N . Hence dynamometer will read 15 N....
Hope it helps u....
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