SATHEE: Laws Of Motion Question 128

Laws Of Motion Question 128

Question: Two small spheres each of mass m connected by a string of length $2 l$ are kept on a smooth horizontal surface. A vertical forceF is applied at the middle of the string. What is maximum value of F for which the spheres do not lose contact with the surface?

Options:

A) $2 m g$

B) $m g$

C) $\frac{3 m g}{2}$

D) $4 m g$

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $F = 2 T \sin θ$ or $T \sin θ = \frac{F}{2}$

$T \sin θ + N = m g$

$\Rightarrow N = m g - T \sin θ$ For no loss of contact: N>0 $\Rightarrow m g - T \sin θ > 0$

$\Rightarrow m g - \frac{F}{2} > 0$

$\Rightarrow F < 2 m g$ So $F_{max} = 2 m g$

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Laws Of Motion Question 128

Question: Two small spheres each of mass m connected by a string of length 2l are kept on a smooth horizontal surface. A vertical forceF is applied at the middle of the string. What is maximum value of F for which the spheres do not lose contact with the surface?

Options:

Answer:

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Question: Two small spheres each of mass m connected by a string of length $2 l$ are kept on a smooth horizontal surface. A vertical forceF is applied at the middle of the string. What is maximum value of F for which the spheres do not lose contact with the surface?