Home
Class 11
PHYSICS
A mass of 2 kg is attached to the spring...

A mass of 2 kg is attached to the spring constant `50Nm^(-1)`. The block is pulled to a distance of 5cm from its equilibrium position at `x=0` on a horizontal frictionless surface from rest at `t=0`. Write the expression for its displacement at anytime t.

Text Solution

Verified by Experts

Here, `m=2kg, k=50N//m, r=5cm=5xx10^(-2)m`
`omega=sqrt((k)/(m))=sqrt((50)/(2))=5rad//s`
Using , `x=rsinomegat, ` we have `x=[5xx10^(-2)sin5t]m`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise Long Answer Questions|33 Videos
  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise Advanced Problems For Competitions|20 Videos
  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise Very Short Answer Questions|99 Videos
  • MATHEMATICAL TOOLS

    PRADEEP|Exercise Fill in the blanks|5 Videos
  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Competiton Focus Jee Medical Entrance|18 Videos

Similar Questions

Explore conceptually related problems

A mass of 2kg is attached to the spring of spring constant 50Nm^(-1) . The block is pulled to a distance of 5 cm from its equilibrium position at x=0 on a horizontal frictionless surface from rest at t=0. Write the expression for its displacement at anytime t.

A block of mass one kg is fastened to a spring with a spring constant 50Nm^(-1) . The block is pulled to a distance x=10cm from its equilibrium position at x=0 on a frictionless surface from rest at t=0. Write the expression for its x(t) and v(t).

A block whose mass is 1 kg is fastened to a spring.The spring has a spring constant 50Nm^(-1) . The block is pulled to a distance x=10cm from its equilibrium position at x=0 on a frictionless surface at t=0 . Calculate the kinetic, potential and total energies of the blocak when it is 5cm away from the mean position.

A block whose mass is 1 kg is fastened to a spring. The spring has a spring constant of 100N/m. the block is pulled to a distance x=10 cm from its equilibrium position at x=0 on a frictionless surface from rest at t=0. the kinetic energy and potential energy of the block when it is 5 cm away from the mean position is

A block whose mass m is 680g is fastened to a spring whose spring constant k is 65N/m. The block is pulled a distance x=11cm from its equilibrium position at x=0 on a frictionless surface and released from rest at t= 0. What is the displacement function x(t) for the spring block system?

A block whose mass m is 680g is fastened to a spring whose spring constant k is 65N/m. The block is pulled a distance x=11cm from its equilibrium position at x=0 on a frictionless surface and released from rest at t= 0. What is the phase constant phi for the motion?

A block whose mass m is 680g is fastened to a spring whose spring constant k is 65N/m. The block is pulled a distance x=11cm from its equilibrium position at x=0 on a frictionless surface and released from rest at t= 0. What is the amplitude of the oscillation?

A block whose mass m is 680g is fastened to a spring whose spring constant k is 65N/m. The block is pulled a distance x=11cm from its equilibrium position at x=0 on a frictionless surface and released from rest at t= 0. What are the angular frequency, the frequency, and the period of the resulting motion?

A block whose mass m is 680g is fastened to a spring whose spring constant k is 65N/m. The block is pulled a distance x=11cm from its equilibrium position at x=0 on a frictionless surface and released from rest at t= 0. What is the maximum speed v_(m) of the oscillating block, and where is the block when it has this speed?

A block whose mass m is 680g is fastened to a spring whose spring constant k is 65N/m. The block is pulled a distance x=11cm from its equilibrium position at x=0 on a frictionless surface and released from rest at t= 0. What is the magnitude a_(m) of the maximum acceleration of the block?

PRADEEP-OSCILLATIONS AND WAVES-Short Answer Questions
  1. Which factors determine the frequency of a tuning fork ?

    Text Solution

    |

  2. Distinguish between harmonics and overtones.

    Text Solution

    |

  3. Find the time period of mass M when displaced from its equilibrium pos...

    Text Solution

    |

  4. Show that the motino of a particle represented by y=sinomegat-cosomega...

    Text Solution

    |

  5. Find the displacement of a simple harmonic oscillator at which its P.E...

    Text Solution

    |

  6. A body of mass m is situated in a potential field U(x)=U(0)(1-cosalpha...

    Text Solution

    |

  7. A mass of 2 kg is attached to the spring constant 50Nm^(-1). The block...

    Text Solution

    |

  8. Consider a pair of identical pendulums, which oscillate with equal amp...

    Text Solution

    |

  9. A steel wire has a length of 12.0m and a mass of 2.10kg. What should b...

    Text Solution

    |

  10. A pipe 20 cm long is closed at one end. Which harmonic mode of the pip...

    Text Solution

    |

  11. A train standing at the outer signal of a railway station blows a whis...

    Text Solution

    |

  12. The wave pattern on a stretched string is shown in figure. Interpret w...

    Text Solution

    |

  13. The pattern of standing waves formed on a stretched strinig at two ins...

    Text Solution

    |

  14. A tuning fork vibrating with a frequency of 512 Hz is kept close to th...

    Text Solution

    |

  15. Show that when a string fixed at its two ends vibrates in 1 loops, 2 l...

    Text Solution

    |

  16. The earth has a radius of 6400km. The inner core of 1000 km radius is ...

    Text Solution

    |

  17. If c is r.m.s speed of molecules in a gas and upsilon is the speed of ...

    Text Solution

    |

  18. Give below are some functions of x and t to represesnt the displacemen...

    Text Solution

    |

  19. In the given progressive wave y=5sin (100pit-0.4pix) where y and x ar...

    Text Solution

    |

  20. For the travelling harmonic wave, y(x,t)=2.0cos2pi[10t-0.0080x+0.35]. ...

    Text Solution

    |