Mechanical Engineering Answers

(1)Find the total charge and the current flowing in a cylindrical conductor (solid wire)of length 1m

and radius 1mm, given that the density of the charge, n = 1029 carriers/m3

, and the charge carrier

velocity, u = 19.9

10-6 m/s.

A car is accelerating in the +x direction. At 2s the car is 100m from the starting point. After an additional 5s, it is 1.5km from the starting point.

Determine the average velocity of the car for the first 5s of its travel.

Determine the average velocity of the car for the entire period of its travel.

Determine the acceleration of A4 on link 4 for the quick

return mechanism given below. Link 2 rotates 10 rad/sec CW.

Fixed link 0,04= 300mm, Driving link O2A = 100mm, 0 = 51° and B =

18º. Also find out coriolis component of acceleration and angular

acceleration of link 4.

A bar AB of 6mts length and 100 N weight is hinged at A.it supports a load of 25 kg at point B.the end B of the bar is connected to the wall by string BC . Determine the tension in the string and the reaction at A.

Determine the angle which the string would make with the horizontal,whan weights of the blocks A and B are such that

(a)WA=WB=W and

(b)WA=W,WB=2W.

A bar AB is hinged to the foundation at A and supported by strut CD is subjected to a horizontal 50 kN load at B,as shown in fig Determine the nature and magnitude of the forces in strut and also the reaction at A

A hollow circular tube T of length L = 15 in. is uniformly

compressed by a force P acting through a rigid plate (see

figure). The outside and inside diameters of the tube are

3.0 and 2.75 in., respectively. A concentric solid circular

bar B of 1.5 in. diameter is mounted inside the tube.

When no load is present, there is a clearance c _ 0.010

in. between the bar B and the rigid plate. Both bar and

tube are made of steel having an elastoplastic stress-

strain diagram with E = 29 x 103 ksi and 𝜎Y = 36 ksi.

(a) Determine the yield load PY and the corresponding

shortening ẟY of the tube.

(b) Determine the plastic load PP and the corresponding

shortening ẟP of the tube.

Knowing that a 0.02-in. gap exists when the

temperature is 75℉, determine (a) the temperature at

which the normal stress in the aluminum bar will be

equal to - 11 ksi, (b) the corresponding exact length

of the aluminum bar.

The steel rod is stress-free before the

axial loads P1 = 150 kN and P2 = 90 kN

are applied to the rod. Assuming that the

walls are rigid, calculate the axial force in

each segment after the loads are applied.

Use E = 200 GPa.

The block shown is made of a magnesium alloy

for which E = 45 GPa and v = 0.35. Knowing that

𝜎x = -180 MPa, determine (a) the magnitude of 𝜎y

for which the change in the height of the block will

be zero, (b) the corresponding change in the area

of the face ABCD, (c) the corresponding change

in the volume of the block.