Mechanical Engineering Answers

in a crank and slotted lever quick return mechanism the distance between fixed center is 15cm and the driver crank is 10 cm long.find the ratio of time taken to the the cutting and return strokes?

The bar shown in the figure is fixed at A and an axial force of 150 kN is acting at C. The

cross-sectional areas of each segment are given in the figure. The design requires that there

should not be a support reaction at B after displacement along the z axis occurs. To provide this

a linearly distributed axial load q(z) is applied between C and D . If the value of this distribution

is supposed to be zero at D , then obtain the expression of the function of this distribution. The

Elasticity modulus of the material is 3500 MPa. (40 Points)

train the Gradient Descent algorithm for finding the predicted outcome. The predicted outcome is Record Sales. Advertising Budget is the independent variable. Answer the following questions.

a.      What is the slope obtained from Gradient Descent?

b.     What is the constant obtained from Gradient Descent?

c.      At what learning rate convergence was obtained?

d.     In how many iterations were the values of slope and constant were obtained with an error of less than 5%?

e.     Write your mathematical model with error. 

A JN flip-flop has two inputs J and N. Input J behaves like the J input of a JK flip-flop, and input N behaves like the complement of the K input of a JK flip-flop (that is N=K’).

(a) Obtain the characteristic table of the flip-flop.

(b) Show that, by connecting the two inputs J and N together, one obtains a D-type flip-flop.

In a mechanism as shown in Fig. 8.39, the link AB rotates with a uniform angular velocity of 30 rad/s. The lengths of various links are : A B = 100 mm ; BC = 300 mm ; BD = 150 mm ; DE = 250 mm ; EF = 200 mm ; DG = 165 mm.

Determine the velocity and acceleration of G for the given configuration.

In a four bar chain ABCD , link AD is fixed and the crank A B rotates at 10 radians per second clockwise. Lengths of the links are A B = 60 mm ; BC = CD = 70 mm ; DA = 120 mm. When angle DAB = 60° and both B and C lie on the same side of AD, find 1. angular velocities (magnitude and direction) of BC and CD ; and 2. angular acceleration of BC and CD.

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

A B = 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

The engine mechanism shown in Fig. 8.38 has crank OB = 50 mm and length of connecting rod A B = 225 mm. The centre of gravity of the rod is at G which is 75 mm from B. The engine speed is 200r.p.m. For the position shown, in which OB is turned 45° from O A, Find 1. the velocity of G and the angular velocity of A B, and 2. the acceleration of G and angular acceleration of A B.

An epicyclic train is shown in Fig. 13.42. Internal gear A is keyed to the driving shaft and has 30 teeth. Compound wheel C and D of 20 and 22 teeth respectively are free to rotate on the pin fixed to the arm P which is rigidly connected to the driven shaft. Internal gear B which has 32 teeth is fixed. If the driving shaft runs at 60 r.p.m. clockwise, determine the speed of the driven shaft. What is the direction of rotation of driven shaft with reference to driving shaft?

In an epicyclic gear train of the ‘sun and planet type’ as shown in Fig. 13.41, the pitch circle diameter of the internally toothed ring D is to be 216 mm and the module 4 mm. When the ring D is stationary, the spider A, which carries three planet wheels C of equal size, is to make one revolution in the same sense as the sun wheel B for every five revolutions of the driving spindle carrying the sunwheel B.

Determine suitable number of teeth for all the wheels and the exact diameter of pitch circle of the ring.