1. SKIT, JAIPUR.
SUBJECT : ENGINEERING MECHANICS SESSION2014-15
TUTORIAL SHEET NO: 8 DATE OF SUBMISSION:
1) Water drips from a tap at the rate of 5 drops per sec. Determine the vertical seperation between two
consecutive drops after the lower drop has attained a velocity of 5 m/s. ( Ans- 0.8035 m)
2) A particle movesalong a straight line witha accelerationdescribedby the equation a= -8 s-2
where a is
in m/s2
and s is in m.When t= 2 sec, s-4 m and v= 2 m/s. Determine acceleration when t= 2 sec.
( Ans-0.2373 m/s2
)
3) The velocity of particle at its greatest height is 0.63245 times of its velocity at half of its greatest
height. Find the angle of projection. ( Ans- 600
)
4) Two bodies of weights 50 KN & 20KN are hung to the two ends of an inextensible light string passing
over an ideal pulley.Determine the acceleration of the block of weight 50KN &tension in the string.
(RTU-2008).(ANS-4.2m/s2
,28.57 KN)
5) A plane has slope of 5 in 12.A shot is projected with a velocity of 200m/s at an upward angle of 300
to horizontal. Find the range on the plane if the short is fired up the plane. (RT2012)
(ANS-1064.65m)
6) Two blocks of weight 800N & 200N are connected by a string and move along horizontal surface
under the action of a force 400N applied to the first wieght of 800N in horizontal direction.The
coeff. Of friction for all surfaces is 0.3.Determine the acceleration of the system of blocks &tension in
the string using D’Alemberts principle. (RTU 2008).(ANS- 0.981m/s2
,80N)