हिंदी

What is a conical pendulum?

Advertisements
Advertisements

प्रश्न

What is a conical pendulum?

लघु उत्तरीय
Advertisements

उत्तर

In a simple pendulum, a mass m is suspended by a string of length l and moves along an arc of a vertical circle. If the mass instead revolves in a horizontal circle and the string which makes a constant angle with the vertical describes a cone whose vertex is the fixed point O, then the mass string system is called a conical pendulum.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Motion in a Plane - Exercises [पृष्ठ ४५]

APPEARS IN

बालभारती Physics [English] Standard 11 Maharashtra State Board
अध्याय 3 Motion in a Plane
Exercises | Q 2. (ix) | पृष्ठ ४५

संबंधित प्रश्न

Draw a neat labelled diagram of conical pendulum. State the expression for its periodic time in terms of length.


For a particle performing uniform circular motion `vecv=vecomegaxxvecr`obtain an expression for linear acceleration of the particle performing non-uniform circular motion.


A stone tied to the end of a string 80 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25 s, what is the magnitude and direction of acceleration of the stone?


An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Compare its centripetal acceleration with the acceleration due to gravity.


A particle starts from the origin at t = 0 s with a velocity of 10.0 `hatj "m/s"` and moves in the x-y plane with a constant acceleration of `(8.0 hati + 2.0 hatj) ms^(-2)`.

  1. At what time is the x-coordinate of the particle 16 m? What is the y-coordinate of the particle at that time?
  2. What is the speed of the particle at the time?

Draw a neat labelled diagram for a particle moving in a circular path with a constant speed. In you diagram show the direction of velocity at any instant.


A piece of stone tied at the end of a thread is whirled in a horizontal circle with uniform speed by hand. Answer the following questions:

  1. Is the velocity of stone uniform or variable?
  2. Is the acceleration of stone uniform or variable?
  3. What is the direction of acceleration of stone at any instant?
  4. Which force provides the centripetal force required for circular motion?
  5. Name the force and its direction which acts on the hand.

Which of the following quantity remains constant in a uniform circular motion?


Define Uniform circular motion.


Answer the following question.

Show that its time period is given by, 2π`sqrt((l cos theta)/("g"))` where l is the length of the string, θ is the angle that the string makes with the vertical, and g is the acceleration due to gravity.


Answer the following question.

Show that the centripetal force on a particle undergoing uniform circular motion is -mrω2.


Solve the following problem.

A particle moves in a circle with a constant speed of 15 m/s. The radius of the circle is 2 m. Determine the centripetal acceleration of the particle.


Solve the following problem.

A projectile is thrown at an angle of 30° to the horizontal. What should be the range of initial velocity (u) so that its range will be between 40m and 50 m? Assume g = 10 m s-2.


If a particle moves with uniform speed then its tangential acceleration will be ______.


A particle goes round a circular path with uniform speed v. After describing half the circle, what is the change in its centripetal acceleration?


The ratio of angular speed of a hour-hand to the second-hand of a watch is ____________.


A disc has mass 'M' and radius 'R'. How much tangential force should be applied to the rim of the disc, so as to rotate with angular velocity 'ω' in time t?


At any instant, the magnitude of the centripetal force on a particle of mass 'm' performing circular motion is given by (ω = angular velocity and v = linear velocity of the particle) ______.


A ball of mass 'm' is attached to the free end of an inextensible string of length 'l'. Let 'T' be the tension in the string. The ball is moving in horizontal circular path about the vertical axis. The angular velocity of the ball at any particular instant will be ______.


A string of length 'l' fixed at one end carries a mass 'm' at the other end. The string makes `3/pi` revolutions/second around the vertical axis through the fixed end as shown in figure. The tension 'T' in the string is ______.


A string of length `l` is fixed at one end and carries a mass 'm' at the other end. The mass is revolving along a horizontal circle of radius 'r' making 'θ' as the semi-vertical angle of cone and `(1/pi)` revolutions per second around the vertical axis through fixed end. The tension in the string is ______.


Define uniform circular motion and give an example of it. Why is it called accelerated motion?


A cyclist starts from centre O of a circular park of radius 1 km and moves along the path OPRQO as shown figure. If he maintains constant speed of 10 ms–1, what is his acceleration at point R in magnitude and direction?


A simple pendulum of length l has maximum angular displacement θ. The maximum kinetic energy of the bob of mass m is ______.

(g = acceleration due to gravity)


What is the direction of the velocity of an object at any point during uniform circular motion?


The relationship between an object's linear velocity (v) and its angular velocity (ω) in a circular path of radius (r) is given by:


In uniform circular motion, although the speed is constant, why does acceleration occur?


The relationship between an object's linear velocity (v) and its angular velocity (ω) in a circular path of radius (r) is given by:


By applying Kepler's third law to the formula for centripetal force, Newton concluded that the force acting on a planet is:


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×