The barrel of a compound microscope is L in length. The specimen will be mounted d0 = 1.0 cm from the objective which has fobjective = 0.9 cm, and the eyepiece has a feyepiece = 5.1 cm focal length. Determine the magnification of the microscope (with a near point distance of 25 cm). Choose the best answer.
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- The two blocks of Figure 6.17 are attached to each other by a massless string that is wrapped around a frictionless pulley. When the bottom 4.00-kg block is pulled to the left by the constant force P, the top 2.00-kg block slides across it to the right. Find the magnitude of the force necessary to move the blocks at constant speed. Assume that the coefficient of kinetic friction between all surfaces is 0.400.Light traveling in water and strikes a glass plate at an angle Ø 40°, where is measured between the incoming 'ray and the glass surface. Upon striking the glass, part of the beam is reflected, and part is refracted. If the angle between the refracted beam and boundary is 50°. What is the refractive index of the glass? Explain your answer with drawing. Notes that the refractive index of water is 1.55.Consider a room with world coordinate system U-V-W as shown. Two cameras are mounted in the room, forming a stereo pair. The world coordinate origin is in one corner of the room, with UV-W axes shown. The "Left" camera Cl is located at world coordinates (10,1,3) and it's xl-yl-zl axes are oriented as shown. The "Right" camera Cr is located at world coordinates (7.1,2) and its xr-yr-zr axes are oriented as shown. Both cameras have a focal length of 1. U (1) What is the 3x4 matrix that maps 3D points in world coordinates into 2D points in film plane coordinates (when points are represented as homogeneous coordinates), for the left camera CI? (2) What is the 3x3 essential matrix for the two cameras, treating them as a stereo pair where Cl is the "left camera" and Cr is the "right" camera?
- The displacement of an oscillating spring can be described by x = A cos(wt) where x = displacement at time t, A = maximum displacement, w = angular frequency, which depends on the spring constant and the mass attached to the spring, and t = time. Find the displacement, x, with maximum displacement A of 4 cm, for times from 0 to 120 seconds with increments of 30 seconds, and angular frequencies from 0.4 to 0.6 radians/sec, with increments of 0.1 radians/sec. The displacement for all combinations of times and angular frequencies needs to be calculated. Use meshgrid. Display your results in a matrix with angular frequencies along the top row and times along the left column like so (you may put zero, 0, or NaN, in the upper left corner:Point k at end of the rod as in Fig. slides along the fixed path (x-y/30), where x and y in (mm). y coordinate of k varies according to the relation y- 4i+5t (mm). take y=20 mm, determine (a) the velocity of k; and (b) the acceleration of k. 50 mm1 Show that in the pinhole camera model, three collinear points in 3-D space are imaged into three collinear points on the image plane.
- Problem Let's suppose that there are three frames overlapping each other at the beginning, namely {A}, {B} and {C}. Then, both frames {B} and {C} are translated by 5 centimeters in x and y axis directions and rotated rotated about z axis by 30 degrees in the counter-clockwise direction with respect to frame {A}. Finally, frame {C} is translated by 10 centimeters in the x axis direction and 20 centimeters in the y axis direction and rotated rotated about z axis by 60 degrees in the clockwise direction with respect to frame {B}. Given coordinates (4,-4) of point P with respect to frame {C}, determine the coordinates of point P with respect to frame {A}. NOTE: ATC= ATB. BTC RoboticI need the answer as soon as possibleUse a computer and draw a hyperbolic orbit with the semimajor axis of a = 1.0 and the eccentricity of e = 1.3 when a focus is located at (x, y) = (-1, 0).
- 4. Consider the building from the figure below. a) If it is 200 feet tall and you are 20 feet away, at what angle from the ground will you have to tilt your head to see the top of the building? (For simplicity assume that your head is even with the ground.) How far is it from your head to the top of the building? Repeat parts (a) and (b) assuming your head is NOT even with the ground, but is 6 feet above ground level. b) c) angle distance d height hA force F₁ of magnitude 6.10 units acts on an object at the origin in a direction 8 = 54.0° above the positive x-axis. (See the figure below.) A second force F₂ of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the magnitude and direction of the resultant force ₁ + ₂. units magnitude direction F₂ counterclockwise from the +x-axisThe fundamental frequency of the signal: x(t) = 60 cos( (t- 0.0066) /0.033) [in units of Hertz is = ? If there is no valid answer, then use 0.0.