The three distinct successive terms of an A.P are
the first,second and fourth terms of a G.P. If the
sum to infinity of a G.P is 3+(√5) , find
the first term.
One end of a massless spring of constant
100 N/m and natural length 0.5 m is
fixed and the other end is connected to
a particle of mass 0.5 kg lying on a
frictionless horizontal table. The spring
remains horizontal. If the mass is made
to rotate at an angular velocity of 2
rad/s, find the elongation of the spring.
A particle will leave a vertical circle of
radius r, when its velocity at the lowest
point of the circle (v_L ) is
(a) (√(2gr))
(b) (√(5gr))
(c) (√(3gr))
(d) (√(6gr))
The cyclic octagon ABCDEFGH has
sides a, a, a, a, b, b, b, b respectively.
Find the radius of the circle that
circumscribes ABCDEFGH in terms
of a and b.