11) A cylindrical rod of constant radius and constant shear modulus, G is of length L and located between z=0 and z=L. t=zsin(πZ/2L). call the polar moment of inertia J. The boundary conditions are Φ(0)=0 AND Φ(L)=0                                                                                                                                                      Find Φ(z) and graph (1/GJ)*Φ(Z),  and (1/GJ)*(dΦ/dz)   ?

Q: On bar BD, what is the x component of the force at B? A. (include units with answer) On bar BD, what…

A:

Q: ▸ An incompressible Newtonian fluid flows between two parallel plates (distance b). The bottom plate…

A:

Q: Coupled Harmonic Oscillators X, =0 x= x' = 2t Derivative X= x" = 2nd Derivative ki k2 k3 we M A)…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 3 A 2

A: Solution :      Given,                AB = 50 mmm               RBC = RCP               ω2 = 1 rad/s…

Q: The vectors A = 5i + 4j – 10k and B = xi + 10j + zk are known to be parallel. Find x and z o 12.5 2…

A:

Q: Use De Moivrés theorem to determine the modulii and the arguments of (9 - j3)^(1/3) Give your…

A: to find:the moduli and argument using De Moivres theorem in polar and cartisian formgiven:

Q: Use the following information for the system shown below: 1. The object (T-beam) is shown in black.…

A:

Q: > X L For: Wo = 6 kN/m L = 3 m Determine the function for internal resultant moment in terms of x…

A:

Q: A square plate with sides 1.5 m in length can rotate around an axle passing through its center of…

A: Given Data Force acting at top left edge is: F1=30 N Force acting at the bottom left edge is: F2=20…

Q: The inertia matrix about O, 1(0, x, y, z), of a cylinder of height H, radius Rand mass M is: R R²/2…

A: To find: The inertia matrix of the solid cylinder about the mentioned co-ordinates. Formula used:…

Q: Find the center of mass of the lamina bounded by the graphs of the equations x = 9-y² and x = 0 for…

A: given x = 9 - y² x = 0 ρ = kx

Q: The cantilever beam depicted below is rigidly attached to a wall at point A, which coincides with…

A:

Q: Consider a satellite moving in a torque-free environment. The inertial frame and satellite…

A:

Q: A triangular plate is supported by a ball and socket at point A, a roller at point B, and a rope at…

A:

Q: A two bar truss is subject to external force in both the horizontal and vertical directions a.)…

A:

Q: Consider the following vectors: • F = 10 @ 0° • H= 7@ 90° What is the solution to F+H? O 12.21 @…

A: Vectors:A vector is one which is fully described by both magnitude and direction  Force…

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.