3- The single-degree-of-freedom "manipulator" shown below has total mass m = 1, with the center of mass at and has inertia tensor Sot 1Pc Ch - 020 002 From rest at t = 0, the joint angle 01 moves in accordance with the time function: 0₁ (1) = bt+ct² in radians. Give the angular acceleration of the link and the linear acceleration of the center of mass in terms of frame {1} as a function of t.

3- The single-degree-of-freedom "manipulator" shown below has total mass m = 1, with the center of mass at and has inertia tensor Sot 1Pc Ch - 020 002 From rest at t = 0, the joint angle 01 moves in accordance with the time function: 0₁ (1) = bt+ct² in radians. Give the angular acceleration of the link and the linear acceleration of the center of mass in terms of frame {1} as a function of t.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

(3) A pendulum consisting of a rod of mass 2m of mass 3kg and a ball of mass 1kg and a radius of 0.3m attached to one of the bar length. The axis of rotation as shown in the figure below What is the angular velocity of the pendulum at its lowest point if it is released from Rest at an angle of 30?
The system shown in the figure consists of two masses attached to a massless road and rotates about the vertical axis at O. The system initially rotating freely at the angular speed of 140 rad/s, when a constant couple moment of CO= 8 Nm is applied on the direction shown.a) Find the time required to stop the assembly.b) Calculate the number of revolutions made until the system stops
find the equations of motion using the lagrange equations of motion. Point A and C are moving vertically, points D and B are moving horizontally. the unloaded spring has length equal to l*sqrt(2). Each rod has mass m amd length l, spring constant is equal to k
The disk in the system shown below rolls without slip on the plate. Using x, the displacementof the plate from the system’s equilibrium position, as the generalized coordinate. Specifythe following:a. The equation of motionb. The natural frequency
A wheel of the F vehicle, developed for an experimental purpose, and a mechanism attached to it are shown in the figure. The speed of the center of mass of the wheel rolling without sliding is constant and v=36km/sa. A pin fixed on the wheel can give oscillating movement to the OA bar, which can rotate around the O point. In another slot above the OA bar, the DB control bar is moved back and forth via pin B. At the moment shown in the figure:a. Find the speed and acceleration vector of pin A.b. Find the angular velocity and angular acceleration vector of the OA bar.c. Find the acceleration of the DB control bar
The system shown in the figure is composed of bar AB which is pin-supported at A and attached to bar BC. The end of bar BC is connected to the slider block C. At the instant shown, the acceleration of point B is 1.125 m/s2 downward and the angular velocity of bar BC is 0.5625 rad/s counterclockwise. Which vector equation relates the accelerations of points B and C ?
The large (1) wheel in figure 1 is rotating around the fixed axis passing through point O with an angular speed w1 = 4rad / sec. The OA crank rotates around the fixed axis from point O with an angular speed woa = 2rad / sec. Find the center of velocity P and angular velocity w2 of the small (2) impellers moving in a plane. Also, if (OK) = R = 60cm, (AB) = r = 20cm, (AC) = 12cm, (AE) = 11cm, (2) find the velocities of the A, B, C, E and K points of the impeller and form Table 3. . Also show the velocity vectors of the points A, B, C, E and K on the figure.
In a swiveling joint mechanism, as shown in figure below, the driving crank OA is rotating clockwise at 200 r.p.m. The lengths of various links are: OA - 50mm; AB = 350 mm; AD = DB; DE = EF = 250 mm and CB - 125 mm. The horizontal distance between the fixed points and C is 300 mm and the vertical distance between F and C is 250 mm. For the given configuration, determine: 1- Velocity of the slider block F 2. Angular velocity of the link DE. And 3. Velocity of sliding of the link DE in the swivel block
Most gasoline engines in today's automobiles are belt driven. This means that the crankshaft, a rod which rotates and drives the pistons, is timed to the camshaft, the mechanism which actuates the valves, by means of a belt. Starting from rest, assume it takes t=0.0320s for a crankshaft with a radius of r1=3.25cm to reach 1750 rpm. If the belt does not stretch or slip, calculate the angular acceleration of crankshaft 2 of the larger camshaft, which has a radius of r2=6.50 cm, during this time period.
The system shown in the figure is composed of bar AB which is pin-supported at A and attached to bar BC. The end of bar BC is connected to the slider block C. At the instant shown, the acceleration of point B is 1.125 m/s2 downward and the angular velocity of bar BC is 0.5625 rad/s counterclockwise. What is the acceleration of sldier block C?
The accelerating torque increases the speed of a flywheel from x rpm to y rpm in 15 seconds. Find 1. The accelerating torque produced during the above period. 2. Increase in the kinetic energy of the flywheel 3. Change in the angular momentum of the flywheel. 4. Number of revolutions made by the flywheel during this period. 5. Find the braking torque required to stop the flywheel completely. Assume suitable mass and radius of gyration. Also assume suitable values for rpm x and y above.
Q8 / By using the instantaneous center method, drive the following equation for the porter governor assuming that the length of the upper and lower arms is equal and both are pivoted oko axis of rotation, where N is the governor speed in (rom), me is the mass of each ball in (k9). M is the mass of sleeve in (kg) and h is the governor height in (m). m, + M N = 29.9 m, h