हिंदी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान कक्षा ११

The relation between acceleration and displacement of four particles are given below: Which one of the particles is executing simple harmonic motion?

Advertisements
Advertisements

प्रश्न

The relation between acceleration and displacement of four particles are given below: Which one of the particles is executing simple harmonic motion?

विकल्प

  • ax = + 2x.

  • ax = + 2x2.

  • ax = – 2x2.

  • ax = – 2x.

MCQ
Advertisements

उत्तर

ax = – 2x.

Explanation:

In simple harmonic motion, acceleration is proportional and opposite to displacement. Applying the equation of motion 

F = ma 

a = − ω2

a ∝− x 

Hence − 2x represents SHM.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Oscillations - Exercises [पृष्ठ ९८]

APPEARS IN

एनसीईआरटी एक्झांप्लर Physics Exemplar [English] Class 11
अध्याय 14 Oscillations
Exercises | Q 14.3 | पृष्ठ ९८

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

If the metal bob of a simple pendulum is replaced by a wooden bob of the same size, then its time period will.....................

  1. increase
  2. remain same
  3. decrease
  4. first increase and then decrease.

The phase difference between displacement and acceleration of a particle performing S.H.M. is _______.

(A) `pi/2rad`

(B) π rad

(C) 2π rad

(D)`(3pi)/2rad`


A spring having with a spring constant 1200 N m–1 is mounted on a horizontal table as shown in Fig. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.

Determine (i) the frequency of oscillations, (ii) maximum acceleration of the mass, and (iii) the maximum speed of the mass.


The acceleration due to gravity on the surface of moon is 1.7 ms–2. What is the time period of a simple pendulum on the surface of moon if its time period on the surface of earth is 3.5 s? (on the surface of earth is 9.8 ms–2)


Answer the following questions:

What is the frequency of oscillation of a simple pendulum mounted in a cabin that is freely falling under gravity?


The cylindrical piece of the cork of density of base area and height floats in a liquid of density `rho_1`. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period

`T = 2pi sqrt((hrho)/(rho_1g)` 

where ρ is the density of cork. (Ignore damping due to viscosity of the liquid).


A clock regulated by seconds pendulum, keeps correct time. During summer, length of pendulum increases to 1.005 m. How much will the clock gain or loose in one day?

(g = 9.8 m/s2 and π = 3.142)


Show that motion of bob of the pendulum with small amplitude is linear S.H.M. Hence obtain an expression for its period. What are the factors on which its period depends?


If the particle starts its motion from mean position, the phase difference between displacement and acceleration is ______.


If the maximum velocity and acceleration of a particle executing SHM are equal in magnitude, the time period will be ______.


Which of the following statements is/are true for a simple harmonic oscillator?

  1. Force acting is directly proportional to displacement from the mean position and opposite to it.
  2. Motion is periodic.
  3. Acceleration of the oscillator is constant.
  4. The velocity is periodic.

Two identical springs of spring constant K are attached to a block of mass m and to fixed supports as shown in figure. When the mass is displaced from equilibrium position by a distance x towards right, find the restoring force


When will the motion of a simple pendulum be simple harmonic?


The length of a second’s pendulum on the surface of earth is 1 m. What will be the length of a second’s pendulum on the moon?


Find the time period of mass M when displaced from its equilibrium position and then released for the system shown in figure.


A body of mass m is situated in a potential field U(x) = U0 (1 – cos αx) when U0 and α are constants. Find the time period of small oscillations.


A particle at the end of a spring executes simple harmonic motion with a period t1, while the corresponding period for another spring is t2. If the period of oscillation with the two springs in series is T, then ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×