Two bodies P and Q of masses 10kg and 15kg respectively are connected by a light inextensible string.
mass 15kg is at free fall pulling mass 10kg.
P is placed on a tough surface of the coefficient of friction, 0.5. if the acceleration due to gravity is 10m/s², calculate the magnitude of the:
(i) normal reaction on P
(ii) frictional force between P and the surface
(iii) tension in the string
(iv) force which causes P and Q to accelerate
(v)common acceleration of P and Q
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Horizontal force,F=600 N
Mass of body A, m1=10 kg
Mass of body B, m2=20 kg
Total mass of the system, m=m1+m2=30 kg
Using Newtons second law of motion, the acceleration (a) produced in the system can be calculated as:
F=ma
a=mF=30600=20m/s2
When force F is applied on body A:
The equation of motion can be written as: F−T=m1a
T=F−(m1)a
=600−10×20=400 N (i)
When force F is applied on body B:
The equation of motion can be written as:
F−T=m2a
T=F−(m2)a
T=600−20×20=200 N (ii)
which is different from value of T in case (i). Hence our answer depends on which mass end, the force is applied.
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