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Assuming that v0 is greater than rw0 determine the acceleration of the center of the ball and the angular acceleratino of the ball until it starts rolling without slip.
The 6 kg sphere comes to a complete stop after the collision. What is the new velocity of the 10 kg ball immediately after collision?
Draw the complete Mohr Circle and (sigma1,sigma2) Plot. What is the safety factor with respect to initial yielding according to the Max Shear Stress Theory and the Max Distortion of Energy Theory?
The outer spring has D =50 mm, d = 9mm, and N =5; the inner spring D =30 mm, d=5 mm, and N =10. Determine the deflection and the maximum stress in each spring.
Air is expanded in a polytropic process with n = 1.5 from 2 MPa and 300 degrees celcius to 80 kPa in a piston-cylinder device. Determine the final temperature of the air.
What is the theoretical mechanical advantage obtained by the man who pulls on the return rope to roll the heavy barrel up the incline? (Use m* as the ratio of output force to input force.)
Create a seven by seven matrix with random numbbers between 1 and 70. Outpput a vector of the difference between the average and the minimum element values in each row of the matrix.
Nitrogen (N2) initially occupying 0.1 m3 at 6 bar, 2478C undergoes an internally reversible expansion during which pV 1.20 5 constant to a final state where the temperature is 378C.
One kilogram of water contained in a piston-cylinder assembly, initially at 160oC, 150 kPa determine heat transfer,work, change in entholpy and P-V diagram.
The steam is at 2 MPa and 400 C at the inlet. The steam pressure at the outlet is 100 KPa. Determine the specifi enthalpy at the inlet (KJ/Kg)
The tube has no external heat transfer and no koving parts, hence no work and all the flows are steady and have negligible kinetic energy. Find the fraction of the inlet flow that comes out at 0 deg
Room B has 1.5 kg air at 20 degrees celsius, both rooms at 100 kPa. Heat transfer between A and B creates a final uniform temperature. What is the final temperature?
The speed of water at the beginning of the pipe is 15.0 ft/s. What is the speed of the water flowing out of the 3.0" x 4.0" rectangular section in ft/min?
Finally it comes to a stop in one half a rotations. What was the total length of cable coiled around the drum during the entire time?
Air at 100 lbf / in 2, 500 degree F and a velocity of 100 ft / s enters a nozzle operating at steady state and expands adiabatically to the exit. Determine the nozzle efficiency. 87.4%
Calculate the velocities (m/s) of the steam at the inlet and outlet. Determine the power (kW) that can be produced by the steam assume negligible heat transfer.
The inlet velocity is 5 ft/s and the inlet and exit cross-sectional areas are equal. Determine the quality and the velocity (ft/s) of the water at the exit.
When theta reaches 60 degrees, the links have an angular acceleration and an angular velocity of 6 rad/s2 and 3 rad/s, respectively. For this instant calculate the magnitudes of the force F and torq
The 25-kg bar BD is attached to the two light links AB and CD and moves in the vertical plane. Also find the angular acceleration of the links at this position.
A 23 kg crate rests on a 10 kg hand cart as shown. The center of mass of the combined crate/cart is at C. Calculate (a) The magnitude of force F. (b) the magnitude of the acceleration.
The coefficient of kinetic friction between the brake pad B and the wheel's rim is u_k = 0.5. A force of P = 300 N is applied to the braking mechanism's handle. Determine the time required to stop t
Calculate the minimum heating and cooling requirements, identify the pinch temperature and construct a temperature enthalpy diagram for the streams.
Consider the incompressible-flow field u = ax + by, v = cx + dy, w = 0. For what conditions on constants a, b, c, d is this flow an exact solution to the continuity and Navier-Stokes equations with
Neglecting with the presence of friction, air dragm and other inefficiencies, how much gasoline is consumed when a 1300-kg automobile accelerates from rest to 80 Km/h?
A stream of Refrigerant-134a at 1 MPa and 12 C is mixed with another stream at 1 MPa and 60 C. If the mass flow rate of the cold stream is twice that of the hot one, determine the specific volume o