Two horses pull horizontally on
ropes attached to a stump.The
two forces F and T that they
applied to the stump are such that
the resultant R has a magnitude
equal to F and makes an angle of
90° with F.Let F=1300N and
R=1300N.Find the value of T.
The motion of a particle moving along
x-axis is represented by the equation
(dv/dt) = 6 − 3v, where v is in m/s and t is
in second. If the particle is at rest at t =
0, then
(1) The speed of the particle is 2 m/s
when the acceleration of particle is
zero
(2) After a long time the particle moves
with a constant velocity of 2 m/s
(3) The speed is 0.1 m/s, when the
acceleration is half of its initial value
(4) The magnitude of final acceleration
is 6 m/s^2
A particle is projected from the foot of
an inclined plane having inclination
45°, with the velocity u at an angle θ
(> 45°) with the horizontal in a vertical
plane containing the line of greatest
slope through the point of projection.
Find the value of tan θ if the particle
strikes the plane
(i) Horizontally
(ii) Normally