Home
Class 12
MATHS
A simple pendulum consisting of a mass M...

A simple pendulum consisting of a mass M attached to a string of length L is released from rest at an angle `alpha`. A pin is located at a distance l below the pivot point. When the pendulum swings down, the string hits the pin as shown in figure. The maximum angle `theta` which the string makes with the vertical after hitting the pin is

A

`cos^(-1) [(L cos alpha +l)/(L+l)]`

B

`cos^(-1) [(L cos alpha-l)/(L-l)]`

C

`cos^(-1) [(L cos alpha +l)/(L-l)]`

D

`cos^(-1) [(L cos alpha-l)/(L+l)]`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TEST PAPER

    RESONANCE ENGLISH|Exercise CHEMISTRY|24 Videos

  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos

  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise MATHEMATICS|259 Videos

Similar Questions

Explore conceptually related problems

A pendulum consists of a small mass m at the end of a string of length L. The pendulum is pulled aside making an angle theta with the vertical and released. Taking the suspension point as the axis, at the instant of release

A particle of mass m attached to a string of length l is descending circular motion on a smooth plane inclined at an angle alpha with the horizontal. For the particle to reach the highest point its velocity at the lowest point should exceed.

A simple pendulum is constructed by attaching a bob of mass m to a string of length L fixed at its upper end. The bob oscillates in a vertical circle. It is found that the speed of the bob is v when the string makes an angle theta with the vertical. Find the tension in the string at this instant.

A bob of mass m attached with a string of length l tied to a point on ceiling is released from a position when its string is horizontal. At the bottom most point of its motion, an identical mass m gently stuck to it. Find the maximum angle from the vertical to which it rotates.

A simple pendulum of length L is constructed form a point object of mass m suspended by a massless tring attached to a fixed pivot point. A small peg is placed a distance 2L//3 directly below the fixed pivot point. A small peg is placed a distance 2L//3 directly below the fixed pivot point so that the pendulum would wing as shown in the figure. the mass is displaced 5 degrees form the vertical and released. How does it take to return to its starting position.

A simple pendulum is constructed by attaching a bob of mas m to a string of length L fixed at its upper end. The bob oscillates in a vertical circle. It is found that the speed of the bob is v when the string makes an angle theta with the vertical. Find the tension in the string at this instant.

A simple pendulum of length l and mass m free to oscillate in vertical plane. A nail is located at a distance d=l-a vertically below the point of suspension of a simple pendulum. The pendulum bob is released from the position where the string makes an angle of 90^@ from vertical. Discuss the motion of the bob if (a) l=2a and (b) l=2.5a .

A simple pendulum has a bob of mass m and swings with an angular amplitude phi . The tension in thread is T . At a certain time the string makes an angle theta with the vertical (theta le phi)

A simple pendulum of length l and bob mass m is hanging in front of a large nonconducting sheet having surface charge density sigma . If suddenly a charge +q is given to the bob & it is released from the position shown in figure. Find the maximum angle through which the string is deflected from vertical . .

A smalll bob attached to a string of length l is suspended from a rigid support and rotates with uniform speed along a circle in a horizontal plane. Let theta be the angle made by the string with the vertical, then the length of a simple pendulum having the same period is

RESONANCE ENGLISH-TEST PAPER-MATHEMATICS
  1. A simple pendulum consisting of a mass M attached to a string of lengt...

    Text Solution

    |

  2. Let f : [-1, -1/2] rarr ..................

    Text Solution

    |

  3. The minimum distance between the curves y=tanx, AA x in (-(pi)/(2),(p...

    Text Solution

    |

  4. let f(x)=a0+a1x^2+a2x^4+............anx^(2n) where 0< a0 < a1 < a3 ......

    Text Solution

    |

  5. If f(x)= |{:(1,,x,,x+1),(2x,,x(-1),,(x+1)x),(3x(x-1),,x(x-1)(x-2),,(x+...

    Text Solution

    |

  6. Find the area bounded by the curves y=6x -x^(2) and y= x^(2)-2x

    Text Solution

    |

  7. If y(x) is the solution of the differential equation (dy)/(dx)=-2x(y-1...

    Text Solution

    |

  8. A={1, 2, 3, ..., 9}. If three numbers are selected from set A and are ...

    Text Solution

    |

  9. If alpha, beta are roots of equation x^(2)-4x-3=0 and s(n)=alpha^(n)+b...

    Text Solution

    |

  10. The mean of the data set comprising of 16 observations is 16. If one...

    Text Solution

    |

  11. Find the length of normal chord which subtends an angle of 90^0 at the...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. If a relation R on the set N of natural numbers is defined as (x,y)hAr...

    Text Solution

    |

  14. The function f(x) = (x^(2) - 1)|x^(2) - 3x + 3|+cos (|x|) is not diffe...

    Text Solution

    |

  15. Let f(x)=1-x-x^3.Find all real values of x satisfying the inequality,...

    Text Solution

    |

  16. The equation of a curve passing through (2,7/2) and having gradient...

    Text Solution

    |

  17. Let A and B be two events such that P(A)=0.3,P(B)=0.4 and P(A^(')capB^...

    Text Solution

    |

  18. Number of identical terms in the sequence 2, 5, 8, 11, ... up to 100 t...

    Text Solution

    |

  19. Which of the following is not equivalent to (p^^~ q)->r (a) ~(q v ~ ...

    Text Solution

    |

  20. If x=1+log(a) bc, y=1+log(b) ca, z=1+log(c) ab, then (xyz)/(xy+yz+zx) ...

    Text Solution

    |

  21. If a curve is represented parametrically by the equations x=4t^(3)+3 a...

    Text Solution

    |