A 10kg monkey is climbing a massless rope attached to a 15kg mass over a smooth tree limb. The mass is lying on the ground. In order to raise the mass from the ground he must climb with:
A
Acceleration greater than 5m/sec2
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B
Acceleration greater than 2.5m/sec2
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C
High speed
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D
Acceleration greater than 10m/sec2
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Solution
The correct option is A Acceleration greater than 5m/sec2 For 15 kg to lift off the ground
For monkey FBD,
As monkey is going up with acceleration a tension in the string can be given as T=10(g+a) On the other side as the 15kg mass is at rest so, T=15g Equating both the equation T⇒10a+10g>15g ⇒a>0.5g⇒a>5m/s2