1
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
Volume of a cube of a side $$''l''$$ and volume of sphere of radius $$' r '$$ are equal. Both the cube and the sphere are solid and same material. They are being cast. The ratio of the solidification time of the cube to the same of the sphere is
A
$${\left( {4\pi /6} \right)^3}.{\left( {r/l} \right)^6}$$
B
$$\left( {4\pi /6} \right).{\left( {r/l} \right)^2}$$
C
$$\left( {4\pi /6} \right).{\left( {r/l} \right)^3}$$
D
$${\left( {4\pi /6} \right)^2}.{\left( {r/l} \right)^4}$$
2
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
A stepped steel shaft shown below is subjected to $$10$$ N-m torque. If the modulus of rigidity is $$80$$ GPa, the strain energy in the shaft in N-mm is GATE ME 2007 Strength of Materials - Strain Energy Method Question 2 English
A
$$4.12$$
B
$$3.46$$
C
$$1.73$$
D
$$0.86$$
3
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
A uniformly loaded propped cantilever beam and its free body diagram are shown below. The reactions are GATE ME 2007 Strength of Materials - Deflection of Beams Question 3 English
A
$${R_1} = {{5qL} \over 8},{R_2} = {{3qL} \over 8},M = {{q{L^2}} \over 8}$$
B
$${R_1} = {{3qL} \over 8},{R_2} = {{5qL} \over 8},M = {{q{L^2}} \over 8}$$
C
$${R_1} = {{5qL} \over 8},{R_2} = {{3qL} \over 8},M = 0$$
D
$${R_1} = {{3qL} \over 8},{R_2} = {{35qL} \over 8},M = 0$$
4
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
A machine frame shown in the figure below is subjected to a horizontal force of $$600$$ $$N$$ parallel to $$Z$$-direction. GATE ME 2007 Strength of Materials - Torsion Question 3 English

The maximum principal stresses in $$MP$$a and the orientation of the corresponding principal plane in degrees are respectively

A
$$-32.0$$ and $$-29.52$$
B
$$100.0$$ and $$60.48$$
C
$$-32.0$$ and $$60.48$$
D
$$100.0$$ and $$-29.52$$
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