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ESE ME: Engineering Mechanics Champion Quiz 2
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Question 1
A bike in an equilibrium position having and angle Φ = 30o is having a spring. What will be its stiffness k of spring if free length is l0 = 1 m. Given that Z = 50 N, r = 0.1 m.
Question 2
A truck accelerates up a 100 incline with a crate of 100 kg. Value of static coefficient of friction between the crate and the truck surface is 0.3. The maximum value of acceleration (in m/
) of the truck such that the crate does not slide down is
) of the truck such that the crate does not slide down is Question 3
A block weighing 200 N is in contact with a level plane whose coefficients of static and kinetic friction are 0.4 and 0.2, respectively. The block is acted upon by a horizontal force (in newton) P=10t, where t denotes the time in seconds. The velocity (in m/s) of the block attained after 10 seconds is_____
Question 4
A planetary gear train has four gears and one carrier. Angular velocities of the gears are ω1, ω2, ω3 and ω4 respectively. The carrier rotates with angular velocity ω5.
What is the relation between the angular velocities of Gear 1 and Gear 4?
What is the relation between the angular velocities of Gear 1 and Gear 4?
Question 5
Which one of the following is a criterion in the design of hydrodynamic journal bearings?
Question 6
A straight rod of length L(t), hinged at one end and freely extensible at the other end, rotates through an angle θ(t) about the hinge. At time t, L(t) = 1 m, (t) = 1 m/s, 
rad and θ(t) = 1 rad/s. The magnitude of the velocity at the other end of the rod is
rad and θ(t) = 1 rad/s. The magnitude of the velocity at the other end of the rod is Question 7
During inelastic collision of two particles, which one of the following is conserved?
Question 8
A swimmer can swim 10 km in 2 hours when swimming along the flow of a river, While swimming against the flow. She takes 5 hours for the same distance. Her speed in still water (in km/h) is _______
Question 9
A mass of 100 kg is held between two springs as shown in figure. The natural frequency of vibration of the system in cycles/second is
Question 10
If a number of forces act on a rigid body, each force may be replaced bv an equal and parallel force acting through a fixed point, together with a couple. For the rigid body to be in equilibrium
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Aug 21ESE & GATE ME
