Cochin University of Science and Techology (CUST) 2006-2nd Sem B.Tech Computer Science and Engineering I &, Engineering Mechanics - Question Paper
BTMC) I 06 -4)05 <B)
B. Tech Degree I & tl Semester (Combined) Examination June 2006
IT/<S/EC7CE/Mfi/SFFB/F.I/F.E/MRK 105 ENGINEERING MECHANICS
(M(W Admission* ommrtlt)
3 Hours Maximum Marks. 1(10
Time f.
<7)
Stale and prove theorem of </*rignon. Ncgkcting friction, find the angle P of line AB with horizontal f* equilibrium and if W. I00,V. * .>00,V.
<)
<b)
(10)
(5)
(12)
II
(*>
(b)
OK
State the laws of coulomb riction.
What force F is needed to g* the SOON block moving to the right? Hie coefficient of friction for all contact surface is 0.25.
Determine the centroid oftte section in the figure given below /.Iso determine /, & I for the axes passitg through centroid. , ** *
III.
(17)
Jf fff
'It V
OK
l.ocate the centroid of the si adcd area shown in the figure Abo d iwrmine /,, /,. .
(1)
(16)
Determine the axial force in ali the members of the truss shown in the figure.
IV
Explain the principle of virtual work
Find Dm reaction at A.B.C and D for the beam shown in the Igure using principle of virtual work
IvV kvr<l-f
>" fm 3 ni a
A body ofmass 4kg drop: freely fronts height til'SOm and |enetnitcs into the ground by one metre. Find the av>-rage resistance o< penetration ant the time of penetration.
OR
11k acceleration ofa pani;le moving in a straight tine is directed towards a fixed point 0 and is inversely proportional to the distance ofthcptnicle from 0. At time t * 0. the displacement is 04m. vclociiy is l.4m**and the < ccelenuion isO.Sm's*.
Find the velocity when the displaccmeM is 0.9m and the displacement when the velocity is rcro.
A rotor of an electric motcris uniformly accelerated to a spc cd of I *00rpm from rest for 5 seconds and (her immediately power is switched oT and the rotor decelerate uniformly. If the total tim< elapsed from to stop is I2.5iec. Jetermine the number of revolutions made in (i) acceleration (ii) deceleration. Also determine (he value of deceleration.
OH
A gun of mass 3000kg fires horizontally a shell of mass 50k i with a velocity of 300ms. What ts the velocity with \.hich the gun will recoil? Alsodtterminc the uniform force required to stop the gun in 0.6m tn how much time it will t op?
A panicle is performing aS.H.M. When it is at distances ot 10.0cm and 20.0cm from the mean position its veto ittcs are 1.2m/s and O.ftnVs respet lively Find (i) amplrtuoc (ii) tiros period
(iii) its maxinum velocity and (iv) tamwwimum acceleration.
A cylinder of mas-5 M* and radius V rating on an inclined plane t* released from rest and rolls down the inclined plane without slipping. Del srmine
(i) the acceleration of its center of mass
(ii) the maximum angle 0 of the inclined plane for which the body will roll wiihout slipping
(iii) the maximum veloc ty of the center of the cylinder aflerit has rolled a distance of Int AvurcetfcccoctlicKftt of static frktixi /i = 0.192
OR
Derive the expression for he period of small oscillation of s compound pendulum. Determine the period of small oscillation of the Compound wndukxn shown in the figure consisting of a disk of diameter 25.4cm and weight 13 5 or suspended by a slender bar of weight 2 25N and length 30cm.
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