मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

A simple pendulum of length 100 cm performs S.H.M. Find the restoring force acting on its bob of mass 50 g when the displacement from the mean position is 3 cm.

Advertisements
Advertisements

प्रश्न

A simple pendulum of length 100 cm performs S.H.M. Find the restoring force acting on its bob of mass 50 g when the displacement from the mean position is 3 cm.

बेरीज
Advertisements

उत्तर

Data: L = 100 cm, m = 50 g = 5 × 10-2 kg, x = 3 cm,

g = 9.8 m/s2

We know that

Restoring force, F = mg sinθ = mgθ

= `(5xx10^-2)(9.8)(3/100)`

`=1.47 xx 10^-2` N

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Oscillations - Exercises [पृष्ठ १३०]

APPEARS IN

बालभारती Physics [English] Standard 12 Maharashtra State Board
पाठ 5 Oscillations
Exercises | Q 14. | पृष्ठ १३०

संबंधित प्रश्‍न

Obtain the expression for the period of a simple pendulum performing S.H.M.


A simple pendulum performs S.H.M. of period 4 seconds. How much time after crossing the mean position, will the displacement of the bob be one-third of its amplitude.


Obtain an expression for a time period of the simple pendulum.


A simple pendulum of length L has mass m and it oscillates freely with amplitude A. At the extreme position, its potential energy is (g = acceleration due to gravity)


The length of a simple pendulum is increased by 44%. The percentage change in its time period is ______.


A bob of a simple pendulum has mass m and is oscillating with an amplitude a. If the length of the pendulum is L, then the maximum tension in the string is [cos 0° = 1, g = acceleration due to gravity]


Work done in stretching a wire through 1 mm is 2 J. What amount of work will be done for elongating another wire of same material, with half the length and double the radius of cross-section, by 1 mm?


A person measures a time period of a simple pendulum inside a stationary lift and finds it to be T. If the lift starts accelerating upwards with an acceleration `("g"/3)`, the time period of the pendulum will be ______.


A pendulum performs S.H.M. with period `sqrt3` second in a stationary lift. If lift moves up with acceleration `"g"/3`, the period of pendulum is ______. (g = acceleration due to gravity)


A simple pendulum has length 'L1'. When its amplitude is 'a' cm, its energy is 'E1'. When length is 2L1, its energy is 'E2' Amplitude is same for both the lengths The relation between E1 and E2 is ______.


Two simple pendulums of lengths 1.44 m and 1.96 m start swinging together. After how many vibrations will they again start swinging together?


The length of a seconds pendulum is 1m on the earth. If the mass and diameter of the planet is double than that of the earth, then the length of the second's pendulum on the planet will be ______ 


A simple pendulum has a length of 2m and a bob of mass of 100 grams. It is whirled in a horizontal plane. If the string breaks under a tension of 10 N, the angle made by the string with vertical is ______

(g = 10 m/s2) 


The maximum kinetic energy of a simple pendulum is 'K'. Its displacement in terms of amplitude 'a', when kinetic energy becomes `(K/2)` is ______.


Define second’s pendulum.


The maximum frequency of transmitted radio waves above which the radio waves are no longer reflected back by ionosphere is ______.

(N = maximum electron density of lonosphere, g = acceleration due to gravity)


Two weights w1 and w2 are suspended from the ends of light string over a smooth fixed pulley. If the pulley is pulled up with acceleration g, the tension in the string will be ______.


The equation of motion in differential form for a seconds pendulum is ______.


A clock regulated by a second pendulum keeps the correct time. During winter the length of the pendulum decreases by 1 %. How much will the clock gain or lose in one day?


Which formula correctly gives the acceleration due to gravity using a simple pendulum, where L is the length and T is the time period?


A simple pendulum is used to investigate the dissipation of energy. Which quantity is plotted against time to analyse this dissipation?


A student measures time for 20 oscillations of a simple pendulum as 30 s, 32 s, 35 s and 35 s. If the minimum division in the measuring clock is 1 s, then correct mean time (in second) is ______.


A small sphere oscillates simple harmonically in a watch glass whose radius of curvature is 90 cm. The period of oscillations of the sphere is ______. (g = 10 ms−2)


If the mass of the bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is `x/2` times its original time period. Then the value of x is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×