Civil Engineering Applied Mechanics and Graphic Statics MCQs

31. When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are
a)    straight line and parabola
b)    straight line and circle
c)    circle and straight line
d)    circle and parabola
Ans: c

32.     Select the correct statement
a)    The body centrode rolls on the space centrode.
b)    The space centrode rolls on the body centrode.
c)    Both body and space centrodes may role on each other.
d)    The body centrode never touches space centrode.
Ans: a

33.    At the instantaneous centre, the velocity of the moving lamina at any instant is
a)    zero
b)    maximum
c)    minimum
d)    varying
Ans: a

34.    Instantaneous centre is at infinity when the angular velocity is
a)    constant
b)    zero
c)    maximum
d)    minimum
Ans: b

35. A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous centre of rotation when the ladder starts slipping ?
i)     1.0 in from the wall
ii)    1.732 m from the wall
iii)   1.0 m above the floor
iv)   1.732 m above the floor The correct answer is
a)    (i) and (iii)
b)    (i) and (iv)
c)    (ii) and (iii)
d)    (ii) and (iv)
Ans: d

36. For a given velocity of a projectile, the range is maximum when the angle of projection is
a)    30°
b)    45°
c)    90°
d)    0°
Ans: b

37. The angle of projection at which the horizontal range and maximum height of a projectile are equal to
a)    36°
b)    45°
c)    56°
d)    76°
Ans: d

38. The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is
a)    98 m
b)    490 m
c)    980 m
d)    1960m
Ans: c

39. A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in
a)    5 sec
b)    8 sec
c)    10 sec
d)    20 sec
Ans: c

40.    A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about
a)    1/4
b)    1/3
c)    1/2
d)    1/5
Assume g = 10 m/sec2
Ans: a

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