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TOM & MD Golden PYQ Quiz 6
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Question 1
The number of qualitatively distinct kinematic inversions possible for a Grashof chain with four revolute pairs is
Question 2
Ball bearings are rated by a manufacturer for a life of 106 revolutions. The catalogue rating of a particular bearing is 16 kN. If the design load is 2 kN, the life of the bearing will be p × 106 revolutions, where p is equal to ______
Question 3
The figure shows the relationship between fatigue strength (S) and fatigue life (N) of a material. The fatigue strength of the material for a life of 1000 cycles is 450 MPa. while its fatigue strength for a life of 106 cycles is 150 MPa.
The life of a cylindrical shaft made of this material subjected to an alternating stress of 200 MPa will then be cycles (round off to the nearest integer).
Question 4
A helical spring has spring constant k. If the wire diameter, spring diameter and the number of coils are all doubled then the spring constant of the new spring becomes ___________.
Question 5
The torque provided by an engine is given by T(θ) = 12000 + 2500 sin(2θ) N.m. where θ is the angle turned by the crank from inner dead center. The mean speed of the engine is 200 ipm and it drives a machine that provides a constant resisting torque. If variation of the speed from the mean speed is not to exceed ± 0.5%. the minimum mass moment of inertia of the flywheel should be _________ kg.M2 (round off to the nearest integer).
Question 6
Consider the system shown in the figure. A rope goes over a pulley. A mass, m, is hanging from the rope. A spring of stiffness, k, is attached at one end of the rope. Assume rope is inextensible, massless and there is no slip between pulley and rope.
The pulley radius is r and its mass moment of inertia is J. Assume the mas is vibrating harmonically about is equilibrium position. The natural frequency of the system is __________.
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