Home
Class 11
PHYSICS
What is the radius of curvature of the p...

What is the radius of curvature of the parabola traced out by the projectile.Projected with a speed `u=sqrt30` at angle `theta=60^(@)` with the horizontal at a point where the particle velocity makes an angle `theta//2` with the horizontal ?

Text Solution

Verified by Experts

The correct Answer is:
A

As velocity along horizontal remains constant
`U cos theta=V cos (theta/2)`
Radius of curvature `r=v^(2)/a_(T)=(v^(2)cos^(2)theta)/(g cos^(2)(theta//2)`
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    NARAYNA|Exercise LEVEL-VI|14 Videos
  • CIRCULAR MOTION

    NARAYNA|Exercise LEVEL-VI PASSAGE|3 Videos
  • CALORIMETRY

    NARAYNA|Exercise Level- II (H.W)|11 Videos
  • COLLISION

    NARAYNA|Exercise Level-II (H.W)|54 Videos

Similar Questions

Explore conceptually related problems

What is the radius of curvature of the parabola traced out by the projectile in which a particle is projected with a speed u at an angle theta with the horizontal, at a point where the velocity of particle makes an angle theta//2 with the horizontal.

A projectile is projected with a speed u at an angle theta with the horizontal. What is the speed when its direction of motion makes an angle theta//2 with the horizontal

For a projectile first with velocity u at an angle theta with the horizontal.

A projectile is fired with a speed u at an angle theta with the horizontal. Find its speed when its direcrtion of motion makes an angle alpha with the horizontal.

A particle is projected with a speed u at an angle theta with the horizontal. What will be the speed of the particle when direction of motion of particle is at an angle alpha with the horizontal?

A particle is thrown with a speed u at an angle theta with the horizontal. When the particle makes an angle phi with the horizontal. Its speed changes to v :

A particle is thrown with speed u of an angle theta with the horizontal when the particle makes an angle phi with the horizontal its speed changes to v

A ball is projected at an angle 60^(@) with the horizontal with speed 30 m/s. What will be the speed of the ball when it makes an angle 45^(@) with the horizontal ?

A particle is projected with a speed u at an angle 60^(@) with the horizontal.What is the radius of curvature of the parabola traced out by the projectile at a point where the particle velocity makes an angle 30^(@) with the horizontal?

A projectile is projected with speed u at an angle theta with the horizontal . The average velocity of the projectile between the instants it crosses the same level is

NARAYNA-CIRCULAR MOTION-LEVEL II(H.W)
  1. What is the radius of curvature of the parabola traced out by the proj...

    Text Solution

    |

  2. A ball of mass 0.2 kg is thrown vertically upwards by applying a force...

    Text Solution

    |

  3. A body of mass 3 kg is moving alone a straight line with a velocity of...

    Text Solution

    |

  4. A rubber ball of mass 50 g falls from a height of 5m and rebounds to a...

    Text Solution

    |

  5. A stream of water flowing horizontally with a speed of 15 ms^(-1) push...

    Text Solution

    |

  6. What is the magnitude of the total force on a driver by the racing car...

    Text Solution

    |

  7. A base ball of mass 150 gm travelling at speed of 20 m//s is caught by...

    Text Solution

    |

  8. A dynamometer D is attached to two blocks of masses 6 kg and 4 kg.Forc...

    Text Solution

    |

  9. A particle of mass m moving with velocity u makes an elastic one-dimen...

    Text Solution

    |

  10. Figure shows the position-time graph of a particle of mass 0.04kg. Sug...

    Text Solution

    |

  11. The elevator shown in fig. is descending with an acceleration of 2ms^(...

    Text Solution

    |

  12. A block of mass m is pulled by a uniform chain of mass m tied to it by...

    Text Solution

    |

  13. Two masses of 8 kg and 4 kg are connected by a string as shown in figu...

    Text Solution

    |

  14. Consider the system as shown in the figure. The pulley and the string ...

    Text Solution

    |

  15. Two masses of 1kg and 5kg are attached to the ends of a massless strin...

    Text Solution

    |

  16. A chain consisting of 5 links each of mass d 0.1 kg is lifted vertical...

    Text Solution

    |

  17. Three blocks of equal masses (each 3kg) are suspended by weightless st...

    Text Solution

    |

  18. Pulleys and strings are massless.The horizontal surface is smooth.What...

    Text Solution

    |

  19. When a train starting from rest is uniformly accelerating, a plumb bob...

    Text Solution

    |

  20. The pulleys and strings shown in the figure are smooth and of negligib...

    Text Solution

    |

  21. Two bodies of mass 4kg and 6kg are attached to the ends of a string pa...

    Text Solution

    |