Problem 1 A ring, having an inner radius of 4 inches, an outer radius of 4.125...
A thin ring of outer radius, ro, inner radius, ri, and weight, W, with an initial counterclockwise angular velocity, wo, is placed in the corner formed by the floor and a vertical wall. Denoting the coefficient of kinetic friction between the thin ring and the wall and the floor as Mx, derive an expression for the time required for the thin ring to come to rest. W. O
A thin ring of outer radius, ro, inner radius, ri, and weight, w, with an initial counterclockwise angular velocity, wo, is placed in the corner formed by the floor and a vertical wall. Denoting the coefficient of kinetic friction between the thin ring and the wall and the floor as uk, derive an expression for the time required for the thin ring to come to rest. W.
A thin ring of outer radius, ro, inner radius, ri, and weight, W, with an initial counterclockwise angular velocity, wo, is placed in the corner formed by the floor and a vertical wall. Denoting the coefficient of kinetic friction between the thin ring and the wall and the floor as lk, derive an expression for the time required for the thin ring to come to rest. wo
A thin ring of outer radius, ro, inner radius, ri, and weight, W, with an initial counterclockwise angular velocity, wo, is placed in the corner formed by the floor and a vertical wall. Denoting the coefficient of kinetic friction between the thin ring and the wall and the floor as Mk, derive an expression for the time required for the thin ring to come to rest. wo O
Problem 4. At one end of an elastic beam (length 2L, annular cross section with outer radius R, inner radius r, and planar moment of inertia z(R4- that is supported by a truss structure (cross-sectional area A), a vertical load P is applied, which results in a vertical deflection at that point that can be determined by 5PL 2PL3 EA 3EIz Two experiments with the same data but different inner radii r were conducted, and the deflections w were measured....
2. (4 points) A spherical capacitor has outer radius R2 and inner radius R1 and is filled with a dielectric material in which ε--Ceo/r. A positive charge Q is placed in the inner radius and a negative charge-Q is placed on the outer radius. Remember that ε in this problem depends on the radial position r. (a) Calculate D, E and P within the capacitor, as a function of r for R R2 b) Calculate the potential V, from R1...
Problem 2: Consider a coaxial cable with an inner conductor radius of a and outer conductor radius of b. The region between the conductors is filled with a linear dielectric material that has a relative permittivity er (recall, ε = Er €0). A voltage V is applied to a length h of the cable, resulting in a free-charge of qf residing on the inner conductor and -9f residing on the outer conductor. Part a Determine the D, E, and P...
Problem 5 Suppose a coaxial capacitor with inner radius 1 em, outer radius 2 cm, and length of 1 m is constructed with two different dielectrics. When oriented along the z-axis, er for 0。S$ 9.0, and ε, for 180's φ 360° is 4.0. s i 80° is (a) Calculate the capacitance for this coaxial capacitor. (b) If a voltage of 9 volts is applied across the conductors, determine the electrostatic energy stored in each dielectric for this capacitor.
Question 1. (a) A steel tube having inner and outer dimeters of 1.5 in. and 2 in., respectively, is turning at 45 rev/min. If the allowable shear stress (Tallow) of the tube material is 10 ksi, determine the horse power (hp) transmitted by the tube. (20 points) (b) The A-36 solid steel shaft is 3.5 m long and has a diameter of 60 mm. The shaft is used to transmit a torque of T = 524 N-m from the engine...
Question 1. (a) A steel tube having inner and outer dimeters of 1.5 in. and 2 in., respectively, is turning at 45 rev/min. If the allowable shear stress (Tallow) of the tube material is 10 ksi, determine the horse power (hp) transmitted by the tube. (20 points) (b) The A-36 solid steel shaft is 3.5 m long and has a diameter of 60 mm. The shaft is used to transmit a torque of T = 524 N·m from the engine...