Home
Class 12
PHYSICS
at what displacement the kinetic is eqal...

at what displacement the kinetic is eqal to the potential energy ?
Hint `: U = (1)/(2) kx^(2) , K = (1)/(2) (A^(2) - x^(2))`
`U = K`

Text Solution

Verified by Experts

` U = (1)/(2) kx^(2) , K = (1)/(2) (A^(2) - x^(2))`
`U = K`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT ( SECTION -A)|58 Videos
  • OSCILLATIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-B )|25 Videos
  • OSCILLATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section D) (ASSERTION-REASON TYPE QUESTIONS)|13 Videos
  • NUCLEI

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-D)|10 Videos
  • PHYSICAL WORLD

    AAKASH INSTITUTE|Exercise ASSIGNMENT (Section-B)|5 Videos

Similar Questions

Explore conceptually related problems

For Question , calculat the block's speed asit passes through the equilibrium point ? Hint : E = K+U = (1)/(2) mv^(2) + (1)/(2) kx^(2) = (1)/(2) mv^(2) +0 . Calculate v

A particle slides on frictionless x - y plane. It is acted on by a conservative force described by the potential - energy function U(x, y) =(1)/(2)k(x^(2)+y^(2)) . Derive an expression for the force acting on the particle.

(a) The motion of the particle in simple harmonic motion is given by x = a sin omega t . If its speed is u , when the displacement is x_(1) and speed is v , when the displacement is x_(2) , show that the amplitude of the motion is A = [(v^(2)x_(1)^(2) - u^(2)x_(2)^(2))/(v^(2) - u^(2))]^(1//2) (b) A particle is moving with simple harmonic motion is a straight line. When the distance of the particle from the equilibrium position has the values x_(1) and x_(2) the corresponding values of velocity are u_(1) and u_(2) , show that the period is T = 2pi[(x_(2)^(2) - x_(1)^(2))/(u_(1)^(2) - u_(2)^(2))]^(1//2)

Potential energy vs. time given U = (k X^2)/2 .Plot graph of U vs. t.

Find the points of discontinuity of y = (1)/(u^(2) + u -2) , where u = (1)/(x -1)

Discuss the continuity for f(x) = (1 - u^(2))/(2 + u^(2)) , where u = tan x.

At two positons kinetic energy and potential energy of a particle are K_(1) =10J: U_(1) =-20J, K_(2) = 20 J, U_(2)=-10 J . In moving from 1 to 2 .

A particle is executing SHM. At a displacement y_(1) its potential energy is U_(1) and at a displacement y_(2) its potential energy is U_(2) . The potential energy of the particle at displacement (y_(1)+y_(2)) is

A particle executing SHM possesses two types of energy. Potential energy is on account of displacement of particle from the mean positoin, anad kinetic energy is ono account of velocity of the particle. At any time t P.E. =U=(1)/(2)momega^(2)y^(2)=(1)/(2)momega^(2)a^(2)sin^(2)omegat, and K.E..=K=(1)/(2)momega^(2)(a^(2)-y^(2))=(1)/(2)momega^(2)a^(2)cos^(2)omegat T.E. =E=U+K=(1)/(2)momega^(2)a^(2)= constant Read the above passage and answer the following questions: (i) At what distance from the mean position will K.E. of a particle be twice its P.E.? (ii) What are the implications of this study in day life?

AAKASH INSTITUTE-OSCILLATIONS-Try Yourself
  1. If maximum speed and acceleration of a particle executing SHM be 10 cm...

    Text Solution

    |

  2. A particle of mass 2 kg is moving with SHM. Its greatest velocity is...

    Text Solution

    |

  3. The vertical motion of a huge piston in a machine is approximately SHM...

    Text Solution

    |

  4. The vertical motion of a huge piston in a machine is approximately SHM...

    Text Solution

    |

  5. Many builidings have other types of mass dampersas antisway devices ( ...

    Text Solution

    |

  6. For Question , calculat the block's speed asit passes through the equi...

    Text Solution

    |

  7. For examples , find the potential energy of the block at 0.05 m from ...

    Text Solution

    |

  8. For examples , find the potential energy of the block at 0.05 m from ...

    Text Solution

    |

  9. at what displacement the kinetic is eqal to the potential energy ? H...

    Text Solution

    |

  10. For example , at the time t=0 , the particle is at its mean position, ...

    Text Solution

    |

  11. Is it possible for a body executing linear SHM to have a velocity of 0...

    Text Solution

    |

  12. For Question, find the total energy of osciallation if mass of the bod...

    Text Solution

    |

  13. A 10 kg collar is attached to a spring of spring constant 1000 Nm^(-1...

    Text Solution

    |

  14. A 5kg collar is attached to a spring . It slides without friction over...

    Text Solution

    |

  15. What will be the time period of a pendulum which beats seconds ( i.e.,...

    Text Solution

    |

  16. The acceleration due to gravity on the surface of earth is 9.8 ms^(-...

    Text Solution

    |

  17. A simple pendulum with a metallic bob has a time period T.The bob is n...

    Text Solution

    |

  18. Calculate the time period of a simple pendulum whose length is equal t...

    Text Solution

    |

  19. In dampled oscillation , the amplitude of oscillation is reduced to ha...

    Text Solution

    |

  20. For the damped oscillator shown in previous figure, k= 180 Nm^(-1) and...

    Text Solution

    |