teger Type Questions A transparent cylinder of radius R and height H made from a material...
4. Use the AM-GM inequality to find the largest right circular cylinder that is inscribed in a right cone with base radius R and height H. Also determine the radius and height of the largest such cylinder. 4. Use the AM-GM inequality to find the largest right circular cylinder that is inscribed in a right cone with base radius R and height H. Also determine the radius and height of the largest such cylinder.
plz? help sir .......... A transparent glass hemisphere with radius R and mass m has an index of refraction n. In the medium outside the hemisphere, the index of refraction is equal to one. A parallel beam of monochromatic laser light is incident uniformly and normally onto the central portion of its planar surface, as shown in Figure 3. The acceleration of gravity g is vertically downwards. The radius 8 of the circular cross-section of the laser beam is much...
A 1/4 sphere of radius R placed on the table, the sphere is made of glass with refractive index squareroot 3, a beam of light parallel to the table strikes on the sphere and leaves the sphere as the figures shown, if the incident light is squareroot 3R/2 from the table, find out the refractive angle theta.
Rubber Steel 2r Cross-Section Problem 2. A rubber cylinder of height h and radius r fits perfectly inside of a steel cylinder (see figure), such that: (1) there is no gap between the steel and the rubber, (2) the rubber is initially stress free, and (3) the contact between the rubber and steel is frictionless. The steel cylinder is resting on the floor, and the rubber itself has material properties E and v. A compressive force F is applied to...
this is a laplace equation in cylinder coordinates: ) 1. (10 points) A solid cylinder of radius a and height h has its curved surface held at 0 °C and its top and base held at a temperature To. Find the steady-state temperature distribution in the cylinder. For your convenience, the PDE and the boundary conditions are given below: lu 1. (10 points) A solid cylinder of radius a and height h has its curved surface held at 0 °C...
Using MATLAB 18. A cylinder with base radius r and height h is con- structed inside a sphere such that it is in contact with the surface of a sphere, as shown in the figー ure. The radius of the sphere is R- 11 in. (a) Create a polynomial expression for the vol- / >1 ume V of the cylinder in terms of h. (b) Make a plot of V versus h for 0 shs11 in. (c) Using the roots...
do not use a calculator 7. Find the maximum volume that can be made from a cylinder with lateral surface area 10. The lateral surface aren of a cylinder is S Ⅱ 2Trh where r is the radius and h is the height. The volurne of a cylinder İS Tr2h. 7. Find the maximum volume that can be made from a cylinder with lateral surface area 10. The lateral surface aren of a cylinder is S Ⅱ 2Trh where r...
18. A cylinder of radius r and made of a material of thermal conductivity kiis surrounded by a cylindrical shell of inner radius r and outer radius 2r. This outer shell is made of a material of thermal conductivity k2. The two ends of the combined system are maintained at two different temperatures. Under steady state conditions and no loss of heat across the cylindrical surface, the effective thermal conductivity of the arrangement would be: (a) k,+k2 (6) kk kitk,...
Consider a uniformly charged cylinder with dimensions of radius r and height h contains a charge in it’s volume. What is the magnitude and direction of the electric field at any point outside the cylinder . Describe each step as you go along .Find the electric field within the cylinder and outside of it. Describe each step as you go along. Consider the total charge Q on a line of length h with the use of Gauss’s law compute the...
A conducting disk of a radius a and a small height h is made of a material of a finite conductivity σ and a permeability o μ . It is placed on the xyplane in the presence of a uniform, time-varying, magnetic flux density B = azBo cos ωt as shown in Fig. 6.14. Ignoring time-delay of emf at different points on the disk, and neglecting the magnetic field induced by the current in the disk, compute (a) induced emf...