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Browse complete papersConsider the motion of a point on a circular trajectory. The acceleration in a linear motion (a) and the acceleration in angular motion (α), are related as : (Take r as the radius of circular trajectory)
a = r2 α
a = r α
a = r α2
a = \(r\over\alpha\)
Correct answer
a = r2 α
A shaft runs at 80 rpm and drives another shaft at 150 rpm through a belt drive. Determine the velocity ratio. Neglect any slip between the belt and pulley, and consider the belt to be inelastic.
\(15\over8\)
\(15\pi\over8\)
\(8\pi\over15\)
\(15\over16\)
Correct answer
\(15\over8\)
A body of weight 100 kN is placed on a rough horizontal plane. Determine the co-efficient of fraction if a horizontal force of 30 kN just causes the body to slide over the horizontal plane.
0.3
0.23
0.7
0.77
Correct answer
0.3
The following statements (S1, S2, S3) pertain to the transpose of matrices.
S1 : The transpose of the transpose of a matrix coincides with itself.
S2 : The transpose in the case of a symmetric matrix, AT = A, and the transpose in the case of a skew symmetric matrix, AT = (-) A
S3 : The transpose of the product of two matrices A and B is equal to the product of their transposes [i.e, (A B)T = AT BT ]
Choose the correct statement(s).
S1 only
S2 and S3 only
S1 and S2 only
S1 and S3 only
Correct answer
S1 only
The following statements (S1 and S2) pertain to Work and Energy associated with a particle.
S1 : Gravity force is a non-conservative force, whereas frictional force is a conservative force.
S2 : Work done by a force is zero, when the force acts normal to the direction of displacement.
Choose the correct option.
Both S1 and S2 are True
S1 is False and S2 is True
Both S1 and S2 are False
S1 is True and S2 is False
Correct answer
Both S1 and S2 are True
Find the Moment of inertia of the circular lamina of diameter 2 m, as shown in figure about an axis AB tangential circle, and parallel to the centroidal axis XX.
\(9\ \pi\over4\)
\(3\ \pi\over2\)
\(7\ \pi\over4\)
\(5\ \pi\over4\)
Correct answer
\(9\ \pi\over4\)
The essential component of a electric comb is a resistor of 20 ohm which converts electric energy into work. How much current is drawn by the device at a voltage of 12 V? (Assume no losses)
1.67 A
\(\sqrt{0.6}\) A
0.6 A
0.06 A
Correct answer
1.67 A
Identify the material whose thermal conductivity cannot be measured using Lee’s disc method.
Wood
Natural rubber
Glass
Copper
Correct answer
Wood
The co-factor of the element u in the determinant A given is:
\(A={\left| \begin{array}{cc/r} p & q & r\ s & t & u\x & y & z \end{array} \right|} \)
(−) \(\left| \begin{array}{cc/r} p & q \ s & t \end{array} \right| \)
(−) \(\left| \begin{array}{cc/r} p & q \ x & y \end{array} \right|\)
\(\left| \begin{array}{cc/r} p & r \ x & y \end{array} \right|\)
\(\left| \begin{array}{cc/r} p & q \ x & y \end{array} \right|\)
Correct answer
(−) \(\left| \begin{array}{cc/r} p & q \ s & t \end{array} \right| \)
Making use of Thevenin's theorem, estimate the current in 5 Ω resistor between terminals A and B as shown in Figure.
Assume the internal resistance of batteries as zero.
1.625 A
0.78 A
1.9 A
0.52 A
Correct answer
1.625 A