25. The angular displacement 0 (in radians) for a simplependulum is given by 0 = 0.14sint.a. Determine the period of the pendulum.b. How many swings are completed in 1 scc?c. To the nearest degree, what is the maximumdisplacement of the pendulum?d. The length L of a pendulum is related to the period Tby the equation T= 27,where g is theacceleration due to gravity. Find the length of thependulum to the nearest foot (g = 32 ft/sec?).

Note: As per the Bartleby guidelines, only three parts of a question can be answered at a time.…

Answered: 25. The angular displacement 0 (in…

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

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Q1. In a link work, as shown in Fig. below, the crank A B rotates about A at a uniform speed of 150 r.p.m. The lever DC oscillates about the fixed point D, being connected to A B by the connecting link BC. The block F moves, in horizontal guides being driven by the link EF, when the crank A B is at 30°. The dimensions of the various links are: AB = 150 mm; BC = 450 mm; CE = 300 mm; DE = 150 mm; and EF = 350 mm. Find, for the given configuration, find 1- angular acceleration of link DC, and 2- acceleration of slider F. 75 mm www 450 mm 37,5 mm A
Find the radius of gyration (KG) of a compound pendulum if the time period (T) is 1.5 second and distance from point of suspension to center of gravity is “h”& is equal to 25 cm.
H.W (1): An engine flywheel has a mass of 6.5 tonnes and the radius of gyration is 2 m. If the maximum and minimum speeds are 120 r. p. m. and 118 r. p. m. respectively, find maximum fluctuation of energy. [Ans. 67. 875 kN-m] H.W (2): The turning moment diagram for a multicylinder engine give maximum fluctuating of energy 7914 N.m when the engine is running at 150 r.p.m. If the mass of the flywheel is 1000 kg and the total fluctuation of speed does not exceed 3% of the mean speed, find the minimum value of the radius of gyration. [Ans. 1.034 m]
QA = 20 cm, AC = 50 cm, CD = 40 cm, and the angular velocity of crank QA is 5 rad/s. Solve for VD in cm/s.
a) An engine has a flywheel mass of 8-tonnes and a turning radius of 3 m. The energy fluctuation is 70 KN-m. The average speed of the engine is 160 rpm. Find the maximum speed value. b) A jet engine has a rotor with a weight of 500 N and this rotor rotates at 2400 rpm. Rotor It is suspended in the middle of the C and D bearings with a total distance of 600 mm between them and the center of gravity is rotated. 35 mm above its centre. By calculating the dynamic forces on the bearings, this system perform the balancing.
Question 27 Notyet an A circular wheel of mass 50 kg and radius 200 mm is rotating at 300 r.p.m. Find its kinetic energy. A- =|三 Enter your answer here....
100 mm B. 30 150 mm 75 mm WAR 6 rad/s 25 mm 100mm in the given system, as the result of AB crank arm's spinning, F gear is starting to have an oscillating motion. B arm has a 6rad/sec angular velocity. find F gear's angular velocity g=9,81
8. A Hooke's joint connects two shafts whose axes intersect at 150°. The driving shaft rotates uni- formly at 120 r.p.m. The driven shaft operates against a steady torque of 150 N-m and carries a flywheel whose mass is 45 kg and radius of gyration 150 mm. Find the maximum torque which will be exerted by the driving shaft. [Ans. 187 N-m] mum
Please show graphical method representation for all questions a b and c. please.... Thank you A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. Determine: The magnitude of the mass in plane E and its angular position relative to the mass in plane A The distance of the plane E from plane A The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the…
In the following system the wheel rolls without sliding. The number N of degrees of free 2k k N=2
In the slider-crank mechanism shown, the slide B travels along the center line XX'. Q,A = 1 ½ inches, AB = 6 inches. Crank Q,A moves counterclockwise. (1) Find the two extreme positions of B. (2) Show and dimension the angular movements in degrees of the crank Q2A when the slide B moves between its extreme positions. (3) Find the length of stroke of B. Use Kg: 1 in. = 2 cm. X' VERTICAL DISTANCE FROM Q2 TO B' = INCHES VERTICAL DISTANCE FROM Q2 TO B" = INCHES ANGULAR DISPLACEMENT FROM A' TO A" = DEGREES ANGULAR DISPLACEMENT FROM A' TO A' = DEGREES LENGTH OF STROKE OF B = INCHES
5. A mass on a spring is shown below. Let y(t) be the displacement of the spring as a function of time t. Position A is the equilibrium position corresponding to y = 0. As was done in class, we are taking the positive direction to be downward. The graph of the solution to an initial value problem for this spring is shown. Answer the following questions about this system. A m B A: y=0 C (a) The spring's starting position (at t = 0) could be at i. Position A (Equilibrium) ii. Position B (Above Equilibrium) iii. Position C (Below Equilibrium) iv. Not enough information to tell (b) The spring's starting velocity (at t = 0) is i. positive ii. zero iii. negative iv. Not enough information to tell (c) Immediately after being set in motion at t = 0) the spring

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