एक वक्र को निम्नलिखित प्राचलिक समीकरणों (parametric equations) द्वारा निरूपित किया जाता है :
बिन्दु पर इस वक्र पर एकक स्पर्शी सदिश ज्ञात करें।
वक्र के प्राचलिक समीकरण हैं: [ x = 2\cos t, \quad y = 2\sin t, \quad z = \cos(3t) ] एकक स्पर्शी सदिश (\mathbf{T}) ज्ञात करने के लिए ___ _________ ______ ____ ____.
_______ _______ _________ _________ _______.
___ ______ _________ __________ ________ __________ __________ ___.
___ ____ ____ _______ _________.
___ _______ ______ _____ ___ ____ ________ _________ _________ ____.
_____ _______ ______ ______ ___ ____ ____ ________.
__________ ____ _____ _______ _____ _____ _______ ______ _______ ________ _______ _____.
____ __________ ___ ____ _____ ____ ______ ____ _________.
______ ____ ___ _________ _________ ______ _______ __________ _______ _______ ___ _____.
_______ ______ ______ ________ ___ ______ _________ ________ ____ ____.
_________ __________ ______ ____ _________ ________ ____ ______ __________ ___.
______ ______ _____ _____ ___ _______.
____ ______ ___ _______ ____ _______ __________ _________ ____ ______.
_________ ____ ________.
Get Full Answer on WhatsApp
Given that the time period of Halley's comet is , calculate the length of its semi-major axis. If the perihelion distance of the orbit is
, calculate the aphelion distance.
A particle A of mass moving along the x-axis with speed
collides elastically with a particle B of equal mass which is initially at rest. After the collision, particle A moves at an angle of
above the x-axis. Calculate the velocities of the two particles after the collision.
क) तीन सदिश ,
और
प्रतिबंध
को संतुष्ट करते हैं। यदि
और
तो
का मान ज्ञात करें।
A uniform disk of mass and radius
is initially at rest on a frictionless vertical axle. A constant tangential force of
is applied at the edge of the disk for
. Determine the i) the angular acceleration of the disk ii) the angular speed after
iii) the angular momentum of the disk after
, and iv) the rotational kinetic energy after
.
A progressive wave is described by$
Determine its direction of propagation and calculate the amplitude, wave number, wavelength and frequency of the wave.
Restoring and frictional forces of magnitudes kx and , respectively act simultaneously on an object of mass
attached to a spring. Under the influence of these forces, the mass oscillates with a frequency
and its amplitude reduces to half in
. Calculate the damping constant
, the force constant k and the damping factor b. Also write the differential equation for the system.
A block of mass is moved up from the base a rough inclined plane making an angle of
with the horizontal with initial speed
. The coefficient of kinetic friction between the block and the plane is 0.2. Calculate
i) the maximum distance the block travels up the incline before coming to rest.
ii) the speed of the block when it returns to the base of the inclined plane.
iii) the energy lost over the entire motion. Take .