Home
Class 11
PHYSICS
In the arrangement shown in the figure t...

In the arrangement shown in the figure the mass `M` is very heavy compared to `m (M gt gt m)`. The tension `T` in the string suspende from the ceiling is

A

`4 mg`

B

`2 mg`

C

zero

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

`a = ("Net pulling force")/("Total mass") = ((M - m)g)/((M + m))` …(i)
Since `M gt gt m`
`:. M - m ~~ M + m = M`
Subtituting in Eq. (i),we have
`a = g`
`FBD` of `m` `T - mg = ma = mg`
`:.T = 2 mg`
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    DC PANDEY ENGLISH|Exercise Objective Question|32 Videos
  • LAWS OF MOTION

    DC PANDEY ENGLISH|Exercise Comprehension|9 Videos
  • LAWS OF MOTION

    DC PANDEY ENGLISH|Exercise Assertion And Reason|28 Videos
  • KINEMATICS 1

    DC PANDEY ENGLISH|Exercise INTEGER_TYPE|15 Videos
  • LAWS OF THERMODYNAMICS

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|18 Videos

Similar Questions

Explore conceptually related problems

The block of mass m is at rest. Find the tension in the string A .

In the arrangement shown in the figure, the pulley has a mass 3m, Neglecting friction on the contact surface, the force exerted by the supporting rope AB on the ceiling is

In the arrangement as shown, tension T_(2) is (g=10m//s^(2))

A mass of 3kg is suspended by a rope of length 2m from the ceiling. A force of 40N in the' horizontal direction is applied at midpoint P of the rope as shown. What is the angle the rope makes with the vertical in equilibrium and the tension in part of string attached to the ceiling ? (Neglect the mass of the rope, g = 10m//s^2 )

A mass M of 100 kg is suspended with the use of strings A, B 90 and C as shown in the figure, where W is the vertical wall and R is a rigid horizontal rod. The tension in the string B is

Consider the case of two bodies of masses m_(1) and m_(2) which are connected by light inextensible string passing over a light smooth pulley as shown in the figure. The expression for acceleration of the system and tension of the string are expressed below under different situations : ( i ) when m_(1) gt m_(2) . In this case a=((m_(1)-m_(2))/(m_(1)+m_(2)))g and T=((2m_(1)m_(2))/(m_(1)+m_(2)))g ( ii ) when m_(2) gt m_(1) . In this case a=((m_(2)-m_(1))/(m_(1)+m_(2)))g and T=((2m_(1)m_(2))/(m_(1)+m_(2)))g ( iii ) When m_(1)=m_(2)=m . In this case a=0 , T=mg If m_(1)=10kg , m_(2)=6kg and g=10m//s^(2) What is the tension in the string ?

Consider the case of two bodies of masses m_(1) and m_(2) which are connected by light inextensible string passing over a light smooth pulley as shown in the figure. The expression for acceleration of the system and tension of the string are expressed below under different situations : ( i ) when m_(1) gt m_(2) . In this case a=((m_(1)-m_(2))/(m_(1)+m_(2)))g and T=((2m_(1)m_(2))/(m_(1)+m_(2)))g ( ii ) when m_(2) gt m_(1) . In this case a=((m_(2)-m_(1))/(m_(1)+m_(2)))g and T=((2m_(1)m_(2))/(m_(1)+m_(2)))g ( iii ) When m_(1)=m_(2)=m . In this case a=0 , T=mg If m_(1)=10kg , m_(2)=6kg and g=10m//s^(2) If the pulley is pulled upward with acceleration equal to the acceleration due to gravity, what will be the tension in the string

Consider the case of two bodies of masses m_(1) and m_(2) which are connected by light inextensible string passing over a light smooth pulley as shown in the figure. The expression for acceleration of the system and tension of the string are expressed below under different situations : ( i ) when m_(1) gt m_(2) . In this case a=((m_(1)-m_(2))/(m_(1)+m_(2)))g and T=((2m_(1)m_(2))/(m_(1)+m_(2)))g ( ii ) when m_(2) gt m_(1) . In this case a=((m_(2)-m_(1))/(m_(1)+m_(2)))g and T=((2m_(1)m_(2))/(m_(1)+m_(2)))g ( iii ) When m_(1)=m_(2)=m . In this case a=0 , T=mg If m_(1)=10kg , m_(2)=6kg and g=10m//s^(2) then what is the acceleration of masses ?

Consider the arrangement shown in figure. The string is wrapped around a uniform cylinder which rolls without slipping. The other end of the string is passed over a masslessm frictionless pulley to a falling weight, determine the acceleration of the falling mass m in terms of only the mass of the cylinder M , the mass m and g

In the arrangement shown, the pulleys, string and the spring balance, all the ideal. If m_(1) gt m_(2) , then the reading of the spring balance is

DC PANDEY ENGLISH-LAWS OF MOTION-Single Correct
  1. In the figure shown find relation between magnitudes of a(A) and a(B).

    Text Solution

    |

  2. In the figure block moves downwards with velocity v(1), the wedge righ...

    Text Solution

    |

  3. In the figure the minimum value of a at which the cylinder starts risi...

    Text Solution

    |

  4. When the trolley show in figure is given a horizontal acceleration a, ...

    Text Solution

    |

  5. In the arrangement shown in the figure the mass M is very heavy compar...

    Text Solution

    |

  6. A block rests on a rough plane whose inclination theta to the horizont...

    Text Solution

    |

  7. The minimum value of mu between the two blocks for no slipping is

    Text Solution

    |

  8. A block is sliding along an inclined plane as shown in figure . If the...

    Text Solution

    |

  9. In the figure the wedge is pushed with an acceleration of sqrt3 m//s ^...

    Text Solution

    |

  10. Two block A and B are separted by some distance and tied by a string a...

    Text Solution

    |

  11. All the surface and pulleys are frictionless in the shown arrangement....

    Text Solution

    |

  12. Two blocks of 2 kg and 4 kg are connected by a light string and kept o...

    Text Solution

    |

  13. A smooth rod length l is kept inside a trolley at an angle theta as sh...

    Text Solution

    |

  14. A car begains from rest at time t = 0, and then acceleration along a s...

    Text Solution

    |

  15. A horizontal plank is 10.0 m long with uniform density and mass 10 kg ...

    Text Solution

    |

  16. A block is kept on a smooth inclined plane of angle of inclination the...

    Text Solution

    |

  17. A uniform cube of mass m and slidea is resting in equilibrium on a rou...

    Text Solution

    |

  18. A horizontal force F = (mg)/(3) is applied on the upper surface of a u...

    Text Solution

    |

  19. Two persons of equal heights are carrying a long uniform wooden plank ...

    Text Solution

    |

  20. A ball connect ed with string is released at an angle 45^(@) with the ...

    Text Solution

    |