A particle of mass m begins to slide down

Asked by admin @ 17/08/2021 in Physics viewed by 286 People

A particle of mass m begins to slide down on a fixed smooth sphere from the top, when it breaks off the sphere, the tangential acceleration will be?

Answered by admin @ 17/08/2021

if a particle starts from the top

the speed of the particle will be given by energy conservation law

it is given as

change in the potential energy = gain in kinetic energy

$mgR(1 - cos\theta) = \frac{1}{2} mv^2$

from force equation now

since it break off at this position so normal force will be zero

$mgcos\theta = \frac{mv^2}{R}$

now we will use the value from above two equations

$mgcos\theta = 2mg*(1 - cos\theta)$

by solving above equation

$3cos\theta = 2$

$cos\theta = \frac{2}{3}$

now for tangential acceleration as we know that

$a_t = \frac{F_t}{m}$

$a_t = \frac{mgsin\theta}{m}$

$a_t = gsin\theta$

from above equation

$sin\theta = \frac{\sqrt{5}}{3}$

so tangential acceleration will be

$a_t = \frac{\sqrt{5}}{3}*g$

$a_t = 7.45m/s^2$

A particle of mass m at rest decays

Asked by admin @ 31/08/2021 in Physics viewed by 413 persons

A particle of mass M at rest decays into two particles of m1 and m2 having non-zero velocities. The ratio of the de Broglie wavelength of the particles is a. …

The displacement x of a particle of mass m

Asked by admin @ 16/08/2021 in Physics viewed by 331 persons

The displacement 'x' (in meter) of particle of mass 'm' (in kg) moving in one dimension under the action of a force, is related to time 't' (in second) by …

A particle of mass m is released from rest

Asked by admin @ 13/08/2021 in Science viewed by 331 persons

A particle of mass m is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small which graph …

Two particles of equal mass m and charge q

Asked by admin @ 13/08/2021 in Physics viewed by 313 persons

two particle of equal mass m and charge q are placed at a distance of 16 cm . They do not experience any force . The value of q/m is

Four particles of masses m 2m 3m and 4m

Asked by admin @ 12/08/2021 in Physics viewed by 299 persons

four particles of masses m, 2m, 3m, 4m respectively are placed at the corners of a square of side a, as shown in fig

A charged particle of mass m and charge q

Asked by admin @ 10/08/2021 in Physics viewed by 264 persons

A charged particle of mass m and charge q initially at rest is released in an electric field of magnitude E . It's kinetic energy after time t will be …

A particle of mass m moving with velocity u

Asked by admin @ 13/08/2021 in Physics viewed by 373 persons

A Particle of mass ‘m’ moving with velocity u collides elastically with a particle of mass ‘3m’ at rest. After collision the heavier particle moves with velocity 1) 3u 2) …

A particle of mass m starts moving from origin

Asked by admin @ 17/08/2021 in Chemistry viewed by 329 persons

A particle of mass m starts moving from origin along x axis and its velocity varies with position (x) as v =kx 1/2 . the work done by force acting …

A car of mass m is on an icy driveway

Asked by admin @ 01/12/2021 in Physics viewed by 336 persons

A car of mass 1460 kg is on an icy driveway inclined at an angle of 33◦. The acceleration of gravity is 9.8 m/s^2. If the incline is frictionless, what …

A car of mass m starts from rest

Asked by admin @ 31/08/2021 in Physics viewed by 354 persons

A car of mass m starts from rest and accelerates so that the instantaneous power

A particle of mass 100g is thrown vertically

Asked by admin @ 29/08/2021 in Math viewed by 329 persons

a particle of mass 100g is thrown vertically upwards with a speed of 5m/s.the work done by the force of gravity during the time particle goes up is?

A simple pendulum with bob of mass m

Asked by admin @ 29/08/2021 in Physics viewed by 333 persons

A simple pendulum with bob of mass m and length x is held in position at angle thetha 1 and then angle thetha 2 with the vertical when released from …