Applied Mechanics and Design - Online Test
Q1. A simple quick return mechanism is shown in the figure. The forward to return ratio of the quick
return mechanism is 2:1. If the radius of the crank O1P is 125mm, then the distance ‘d’(in mm)
between the crank centre to lever pivot centre point should be
Answer : Option D
Explaination / Solution:
No Explaination.
Q2. The rotor shaft of a large electric motor supported between short bearings at both the end shows a
deflection of 1.8mm in the middle of the rotor. Assuming the rotor to be perfectly balanced and
supported at knife edges at both the ends, the likely critical speed (in rpm) of the shaft is
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. A solid circular shaft of diameter d is subjected to a combined bending moment M and torque, T.
The material property to be used for designing the shaft using the relation 
Answer : Option C
Explaination / Solution:
No Explaination.
Q4. A solid shaft of diameter, d and length L is fixed at both the ends. A torque, T0 is applied at a
distance, L/4 from the left end as shown in the figure given below.
The maximum shear stress in the shaft is
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. An epicyclic gear train is shown schematically in the adjacent figure. The sun gear 2 on the input
shaft is a 20 teeth external gear. The planet gear 3 is a 40 teeth external gear. The ring gear 5 is a
100 teeth internal gear. The ring gear 5 is fixed and the gear 2 is rotating at 60 rpm ccw (ccw =
counter-clockwise and cw = clockwise). The arm 4 attached to the output shaft will rotate at
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. A forged steel link with uniform diameter of 30mm at the centre is subjected to an axial force that
varies from 40kN in compression to 160kN in tension. The tensile (Su), yield (Sy) and corrected
endurance (Se) strengths of the steel material are 600MPa, 420MPa and 240MPa respectively. The
factor of safety against fatigue endurance s per Soderberg’s criterion is
Answer : Option D
Explaination / Solution:
No Explaination.
Q7. An automotive engine weighing 240kg is supported on four springs with linear characteristics.
Each of the front two springs have a stiffness of 16MN/m while the stiffness of each rear spring is
32MN/m. The engine speed (in rpm), at which resonance is likely to occur, is
Answer : Option A
Explaination / Solution:
No Explaination.
Q8. A vehicle suspension system consists of a spring and a damper. The stiffness of the spring is
3.6kN/m and the damping constant of the damper is 400Ns/m. If the mass is 50kg, then the
damping factor (d) and damped natural frequency (fn), respectively, are
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. A frame of two arms of equal length L is shown in the below figure. The flexural rigidity of each
arm of the frame is EI. The vertical deflection at the point of application of load P is 
Answer : Option D
Explaination / Solution:
No Explaination.
Q10. Match the approaches given below to perform stated kinematics / dynamics analysis of machine
Analysis Approach
P. Continuous relative rotation 1. D’ Alembert’s principle
Q. Velocity and acceleration 2. Grubler’s criterion
R. Mobility 3. Grashoff’s law
S. Dynamic-static analysis 4. kennedy’s theorem
Answer : Option B
Explaination / Solution:
No Explaination.
