Q30 of 82 Page 79

Calculate the tension in the string shown in figure (5-E13). The pulley and the string are light and all surfaces are frictionless. Take g = 10 m/s2.




Given:


Refer the above diagram for the FBD


T + ma =mg …(i)


And T = ma …(ii)


From equations (i) and (ii), we get:


ma + ma = mg


⇒ 2ma = g


⇒ a= =5 m/s2


From equation (ii), T = ma = 5 N


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28

Let m1 = 1 kg, m2 = 2 kg and m3 = 3 kg in figure (5-E12). Find the accelerations of m1, m2 and m3. The string from the upper pulley to m1 is 20 cm when the system is released from rest. How long will it take before m1 strikes the pulley?


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In the previous problem, suppose m2 = 2.0 kg and m3 = 3.0 kg. What should be the mass m so that it remains at rest?

 31

Consider the situation shown in figure (5-E14). Both the pulleys and the string are light and all the surfaces are frictionless. (a) Find the acceleration of the mass M. (b) Find the tension in the string. (c) Calculate the force exerted by the clamp on the pulley A in the figure.


 32

Find the acceleration of the block of mass M in the situation shown in figure (5-E15). Ail the surfaces are frictionless and the pulleys and the string are light.