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Browse complete papersFor a triangular lamina of base b and height h, the ratio of the moment of inertia about its base to that about its centroidal axis parallel to the base is:
2 : 1
4 : 1
6 : 1
3 : 1
Correct answer
2 : 1
A block of mass m is placed on a rough horizontal surface. A force F is applied on the block at an angle \( \theta \) above the horizontal. The coefficient of kinetic friction between the block and surface is \( \mu_k \).
Assuming the block moves towards the right, the acceleration of the block is (g = acceleration due to gravity):
a= F/m cos\( \theta \)-\( \mu_k \) (g-F/m sin\( \theta \))
a= F/m cos\( \theta \) +\( \mu_k \) (g-F/m sin\( \theta \))
a= F/m sin\( \theta \)-\( \mu_k \) (g-F/m cos\( \theta \))
a= F/m cos\( \theta \) -\( \mu_k \) (g+F/m sin\( \theta \))
Correct answer
a= F/m cos\( \theta \)-\( \mu_k \) (g-F/m sin\( \theta \))
In a Whitworth quick return mechanism, the fixed link measures 120 mm while the crank radius is 300 mm. Calculate the cutting stroke to return stroke time ratio.
1.35
1.71
1.52
1.85
Correct answer
1.35
Two parallel shafts offset by 80 mm are joined by an Oldham coupling. At a 900 rpm driving speed, find the maximum sliding velocity of the intermediate disc.
6.54 m/sec
8.54 m/sec
7.54 m/sec
9.42 m/sec
Correct answer
6.54 m/sec
An Oldham coupling joins two parallel shafts offset by 50 mm, with an intermediate disc maximum sliding velocity of 10 m/s. Find the driving shaft speed.
1710 RPM
1820 RPM
1910 RPM
2000 RPM
Correct answer
1710 RPM
A rack-pinion has a pinion with 24 involute teeth, 144 mm pitch circle diameter, the addendum of the pinion as well as the addendum of the rack is 6 mm, and \( 20^\circ \) pressure angle. Calculate the contact ratio of the rack and pinion mechanism.
1
5.72
2.72
1.72
Correct answer
1
In the differential gear of a car, the pinion mounted on the propeller shaft has 20 teeth and the crown gear has 100 teeth. The propeller shaft rotates at 600 rpm. When the vehicle is taking a turn, one wheel rotates at 140 rpm. Determine the percentage change in speed of the other wheel.
10.52%
16.67%
20%
11.67%
Correct answer
10.52%
In a four-stroke engine, the turning moment diagram is represented by four triangles with the following areas:
· Expansion = 8.0 \( cm^2 \)
· Compression = 2.2 \( cm^2 \)(-ve)
· Suction = 0.6 \( cm^2 \)(-ve)
· Exhaust = 0.8 \( cm^2 \)(-ve)
If 1 \( cm^2 \) = 1200J, find the mean torque developed by the engine.
420.3 N-m
535.5 N-m
612.4 N-m
380.2 N-m
Correct answer
420.3 N-m
Which condition must hold for a four-bar mechanism to function as a crank-rocker mechanism?
The longest link is fixed
The shortest link is fixed
A link adjacent to the shortest link is fixed
Any link can be fixed
Correct answer
The longest link is fixed
In a planar four-bar mechanism where \( s + l = p + q \) (s = shortest link, l = longest link, p and q = the other links), which statement is NOT true about the inversions when fixing different links?
Fixing the shortest link always produces a double-crank mechanism
Fixing a link adjacent to the shortest link results in a crank-rocker mechanism
Fixing the link opposite to the shortest link produces a double-rocker mechanism
No inversion will permit full rotation of any link
Correct answer
Fixing the shortest link always produces a double-crank mechanism