Home
Class 12
PHYSICS
A man M slides down a curved frictionles...

A man `M` slides down a curved frictionless track, starting from rest.
The curve obeye the equation `y=(x^(2))/(2)`. The tangential acceleration of man is

A

(a)`g`

B

(b)`(gx)/(sqrt(x^(2)+4`

C

(c)`(g)/(2)`

D

(d)`(gx)/(sqrt(x^(2)+1`

Text Solution

Verified by Experts

The correct Answer is:
D
`(dv)/(dx)=tantheta=x`
tangential acceleration `=gsintheta`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the area between the curves y = x and y = x^(2) .

A particle, starting from rest, moves with constant acceleration 4 ms^(-2). The distance travelled by the particle in 5^(th) second is.

Starting from rest, the acceleration of a particle is a=2(t-1) . The velocity of the particle at t=5s is :-

Find the area between the curves y=2x and y=x^2 .

Find the angle of intersection of the curves y = 4-x^(2) and y=x^(2) .

Eccentricity of curve given equation y^2=9x is 1.

The area of region bounded by the curve y= x-x^2 and line y= mx is 9/2 then the value of m is ……..

The area of the region bounded by the curve y^2= 4 ax and y= mx is (a^2)/(3) Sq. units then the value of m is…………..

The distance travelled by a particle starting from rest and moving with an acceleration (4)/(3) ms^-2 , in the third second is.

The equation of a curve is given as y=x^(2)+2-3x . The curve intersects the x-axis at

ALLEN -TEST PAPER-Exercise (Physics)
  1. A uniform disc of mass M =2.50 kg and radius R = 0.20 m is mounted on ...

    Text Solution

    |

  2. A car runs at constant speed around the horizontal race track shown in...

    Text Solution

    |

  3. A man M slides down a curved frictionless track, starting from rest. ...

    Text Solution

    |

  4. An object moves counter-clockwise along the circular path shown below....

    Text Solution

    |

  5. A girl finds herself stuck with her back to the wall of a cylinder rot...

    Text Solution

    |

  6. A puck of mass m is moving in a circle at constant speed on a friction...

    Text Solution

    |

  7. A simple pendulum of bob of mass m and length L has one of its ends fi...

    Text Solution

    |

  8. A small disc can slide in a circular path on a frictionless inclined p...

    Text Solution

    |

  9. Two very small balls A and B of masses 4.0kg and 5.0kg are affixed to ...

    Text Solution

    |

  10. A particle is moving with a velocity of vec(v)=(3hat(i)+4that(j))m//s....

    Text Solution

    |

  11. A particle of mass m oscillates inside a smooth spherical shell of rad...

    Text Solution

    |

  12. An object of mass m is released from rest at a height h above the surf...

    Text Solution

    |

  13. As shown in figure, the left block rests on a table at distance l from...

    Text Solution

    |

  14. The following curve represents a function y=f(x). Find average value o...

    Text Solution

    |

  15. Two students A & B carried out an experiment to measure the time perio...

    Text Solution

    |

  16. A car leaves Kota for Bundi every 12 minutes The distance between Kota...

    Text Solution

    |

  17. Consider following speed time graphs describing motion of two bodies A...

    Text Solution

    |

  18. A projectile takes off with an initial velocity of 50m//s at an angle ...

    Text Solution

    |

  19. A ball is thrown from the top of a 60m high tower with velocity 20sqrt...

    Text Solution

    |

  20. Two particle are moing along X and Y axes towards the origin with cons...

    Text Solution

    |