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CBSE Class 9 Answered

A dynamometer D is attatced to two masses straight m subscript 1=3kg and straight m subscript 2=5 kg. Forces of straight f subscript 1 subscript blank= 9N & straight f subscript 2= 25N are applied to the masses as shown :  
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Asked by rana.rajindra123 | 17 Jul, 2019, 04:41: PM
answered-by-expert Expert Answer
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
Answered by Thiyagarajan K | 17 Jul, 2019, 05:56: PM
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