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7.
The circular disc shown in its plan view in the figure rotates in a plane parallel to the horizontal plane about the point O at a uniform angular velocity w. Two other points A
and B are located on the line OZ at distances rA and rB from O respectively.[1] The velocity of point B with respect to point A is a vector of magnitude [2 marks]
(a) 0
(b) w(rB − rA ) and direction opposite to the direction of motion of point B
(c) w(rB − rA )and direction same as the direction of motion of point B
(d) w(rB − rA ) and direction being from O to Z[2] The acceleration of point B with respect to point A is a vector of magnitude [2 marks]
(a) 0
(b) w(rB − rA) and direction same as the direction of motion of point B
(c) w(rB − rA) and direction opposite to the direction of motion of point B
(d) w(rB − rA) and direction being from Z to O
asked in Mechanical Engineering, 2003
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8.
The state of stress at a point ‘P’ in a two dimensional loading is such that the Mohr’s circle is a point located at 175 MPa on the positive normal stress axis.
[1] Determine the maximum and minimum principal stresses respectively from the Mohr’s circle [2 marks]
(a) + 175 MPa, -175 MPa
(b) + 175 MPa, -175 MPa
(c) 0, -175 MPa
(d) 0, 0[2] Determine the directions maximum and minimum principal stresses at the point ‘P’ from the Mohr’s circle [2 marks]
(a) 0, 90°
(b) 90°,0
(c) 45°, 135°
(d) all directionsasked in Mechanical Engineering, 2003
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9.
A reel of mass ‘m’ and radius of gyration ‘k’ is rolling down smoothly from rest with one end of the thread wound on it held in the ceiling as depicted in the figure. Consider the thickness of the thread and its mass negligible in comparison with radius ‘r’ of the hub and the reel mass ‘m’. Symbol ‘g’ represents the acceleration due to gravity.
[1] The linear acceleration of the reel is [2 marks]
(a) gr2/(r2+k2)
(b) gk2/(r2+k2)
(c) grk/(r2+k2)
(d) mgr2/(r2+k2)
[2] The tension in the thread is [2 marks]
(a) mgr2/(r2+k2)
(b) mgrk/(r2+k2)
(c) mgk2/(r2+k2)
(d) mg/(r2+k2)asked in Mechanical Engineering, 2003
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10.
Match the following
Work material Type of joining P: Aluminium 1: Submerged Arc Welding Q: Die Steel 2: Soldering R: Copper Wire 3: Thermit Welding S: Titanium Sheet 4: Atomic Hydrogen Welding 5: Gas Tungsten Arc Welding 6: Laser Beam Welding
(a) P – 2, Q – 1, R – 7, S - 6
(b) P – 3, Q – 1, R – 5, S - 7
(c) P – 1, Q – 3, R – 1, S - 5
(d) P – 3, Q – 4, R – 7, S - 6
asked in Mechanical Engineering, 2003
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11.
Match the following
P: Curtis 1: Reaction steam turbine Q: Rateau 2: Gas turbine R: Kaplan 3: Velocity compounding S: Francis 4: Pressure compounding 5: Impulse water turbine 6: Axial turbine 7: Mixed flow turbine 8: Centrifugal pump
(a) P – 2, Q – 1, R – 7, S - 6
(b) P – 3, Q – 1, R – 5, S - 7
(c) P – 1, Q – 3, R – 1, S - 5
(d) P – 3, Q – 4, R – 7, S - 6
asked in Mechanical Engineering, 2003
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12.