Home
Class 11
PHYSICS
The mass of a pendulum bob is 0.2kg, and...

The mass of a pendulum bob is 0.2kg, and it is suspended by a string 1m long. It is pulled aside until the thread is at `30^(@)` to the vertical. How much work is done ? The ball is now released. Find its K.E. at the lowest point ? Take `g=10ms^(-2).`

Text Solution

AI Generated Solution

To solve the problem step by step, we need to find the work done when the pendulum bob is raised to a height and then calculate its kinetic energy at the lowest point. ### Step 1: Determine the height raised by the pendulum bob When the pendulum bob is pulled aside to an angle of \(30^\circ\), we need to calculate the vertical height it is raised. 1. The length of the string \(L = 1 \, \text{m}\). 2. The height \(h\) can be calculated using the cosine of the angle: \[ ...
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    PRADEEP|Exercise Conceptual Problems|27 Videos
  • WORK, ENERGY AND POWER

    PRADEEP|Exercise Very Short Anwer Question.|54 Videos
  • WORK, ENERGY AND POWER

    PRADEEP|Exercise Curiosity questions|2 Videos
  • THERMODYNAMICS

    PRADEEP|Exercise Assertion- Reason Type Questions|19 Videos

Similar Questions

Explore conceptually related problems

The bob of a pendulum has its rest point 1 metre below the support. The bob is pulled aside until the string makes an angle of 15^(@) with the vertical. Upon release, with what speed does the bob swing past its rest point ?

The bob of a pendulum has its rest point 1 m below the support. The bob is pulled aside until the string makes an angle of 60^@ with the vertical line. On release with what speed does the bob swing pass its rest point?

A rod of length 1m and mass 0.5 kg is fixed at one end is initially hanging vertical. The other end is now raised until it makes an angle 60^(@) with the vertical. How much work is required ?

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 rod of length 1.0 m and mass 0.5 kg fixed at ond is initially hanging vertical. The other end is now raised until it makes an angle 60^@ with the vertical. How much work is required?

A small ball of mass 1.0 kg is attached to one end of a 1.0 m long massless string and te other end of the string is hung from a point O . When the resulting pendulum is making 30^(@)C from the vertical, what is the magnitude of net torque about the point of suspension? [Take g=10m//s^(2) ]

Find the work done of move an object of mass 3 kg to a height of 20 m from the ground (Take g =10ms^(-2) ).

A 'block' of mass 10 kg is suspended with string as shown in figure. Find tension in the string. (g=10m//s^(2))

AS simple pendulum consists of a 50 cm long string connected to a 100 g ball. The ball is pulled aside so that the string makes an angel of 37^0 with the verticl and is then released. Find the tension in the string when the bob is at its lowest position.

A pendulum bob on a 2 m string is displaced 60^(@) from the vertical and then released. What is the speed of the bob as it passes through the lowest point in its path

PRADEEP-WORK, ENERGY AND POWER-solved examples
  1. It is well known that a rain drop falls under the influence of the dow...

    Text Solution

    |

  2. When an automobile moving with a speed of 36km//h reaches an upward in...

    Text Solution

    |

  3. The mass of a pendulum bob is 0.2kg, and it is suspended by a string 1...

    Text Solution

    |

  4. A block of mass m=1kg moving on a horizontal surface with speed v(i)=2...

    Text Solution

    |

  5. To stimulat car accidents, the auto manufacturers study the collisions...

    Text Solution

    |

  6. Consider Example 22. Takin the coefficient of friction, mu to be 0.5, ...

    Text Solution

    |

  7. Express (a) the energy required to break one bond in DNA (10^(-10)J) ...

    Text Solution

    |

  8. A body of mass 50kg has a momentum of 1000kgm//s. Calculate its K.E.

    Text Solution

    |

  9. If the linear momentum of a body increases by 20%, what will be the p...

    Text Solution

    |

  10. A vehicles of mass 10 quintals climba up a hill 200m high and thenmove...

    Text Solution

    |

  11. A ball falls undal gravity from a height of 10m with an initial downwa...

    Text Solution

    |

  12. A bullet of mass 10g travels horizontally with speed 100m//s and is a...

    Text Solution

    |

  13. Two masses as shown in figure. Are released from their positions. Calc...

    Text Solution

    |

  14. In a ballistics demonstration, a police officer fires a bullet mass 50...

    Text Solution

    |

  15. A force is acting on a body moving alonog x-axis in the direction of m...

    Text Solution

    |

  16. A 3.0kg block has a speed of 2m//s A and 6m//s at B. If the distance f...

    Text Solution

    |

  17. Two springs have force constants K(1) and K(2) , where K(1)gtK(2). On ...

    Text Solution

    |

  18. A block of massm, initally at rest is dropped from a height h onto a s...

    Text Solution

    |

  19. A spring of force constant 24N//m is resting on a frictionless horizon...

    Text Solution

    |

  20. Two blocksA andB are connected to each other by a string and a spring ...

    Text Solution

    |