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A spring is such that a 2 lb weight stretches it by 6 in. There is a damping force present, with



the magnitude equal to 0.75|𝑣|. An impressed force of F(t) = 2 sin 8t is acting on the spring. If



the 2-lb weight is released from a point 3 in below the equilibrium point, describe the motion

A spring is such that a 4 lb weight stretches it by 0.64 ft. The weight is pushed up 1/3 ft above



the equilibrium point and started with an initial downward velocity of 5 ft/sec. The motion takes



place in a medium which furnishes a damping force of magnitude 0.25|𝑣| at all times. Describe



the motion.

A spring is such that it would be stretched 8 in by a 4 lb weight and a damping force of



magnitude 0.5|𝑣| is added because of immersing the body in a thick liquid. Let the weight be



attached to a spring and pulled down 5 in below the equilibrium point. If the weight is started



with an upward velocity of 3.5 flt/sec, describe the motion. No impressed force is present.

In a pin jointed four bar mechanism ABCD, the lengths of various links are as follows:


AB= 25 mm; BC = 87.5 mm : CD=50 mm and AD = 80 mm. The link AD is fixed and the angle BAD = 135. If the velocity of B is 1.8 m/s in the clockwise direction, find 1. velocity and acceleration of the mid point of BC. and 2. angular velocity and


angular acceleration of link CB and CD.


Discuss different ways of creating a series in python programming



languages using panda library. Justify your answer with the help of



suitable example

Question No. 17      (a) Design a bushed pin type flexible coupling for connecting a motor shaft to a pump shaft for the following service conditions.

Power to be transmitted = 40 kW.

Speed of the motor shaft = 1000 RPM.

Diameter of the motor shaft = 50 mm

Diameter of the pump shaft = 45 mm.

The bearing pressure in the rubber bush and allowable stress in the pins are to be limited to 0.45 N/mm2 and 25 MPa respectively.

(b) List the factors to be considered while selecting the material for design of Machine element.



what is the significance of partial fractions to laplace transforms

differentiate derivatives of transform and transforms of derivatives

Find the area of the region enclosed by the curve x=y-3 and the line x = y 4

Why is it important to have


different Decision Analysis Models?

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