A body of M.I. 4 kg m² rotates with a uniform angular velocity of 20 rad/sec. when an external torque 10 Nm is acting on it. If the external couple is removed calculate the time taken to stop and the total angle by which it rotates before it stops.

A body of M.I. 4 kg m² rotates with a uniform angular velocity of 20 rad/sec. when an external torque 10 Nm is acting on it. If the external couple is removed calculate the time taken to stop and the total angle by which it rotates before it stops.

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

A car is moving on a curved horizontal road of radius 100 m with a speed of 20 m/s. The rotating masses of the engine have an angular speed of 100 rad/s in clockwise direction when viewed from the front of the car The combined moment of inertia of the rotating masses is 10 kg-m².what is the magnitude of the gyroscopic moment in (N-m)?
Paragraf Stiller Düz 11 In Figure 2, the wheel with mass p (kg) with an inertial radius of kA (mm), M-X.t (N.m) it has been subjected to moment (t seconds). Starting from a stationary state calculate the angular speed of the wheel after t1 seconds. Also, the reaction force that the fixed bearing a exerts on the wheel during movement calculate. (Gravity acceleration will be taken as 9.81 m/s2.) kA= 252 mm p= 13 kg x= 3 t;=2 M Odak
Important problem. The motor produces a counterclockwise torque 1 N.m on the attached disk A. A Part of this torque is transferred to the disk C through the belt after amplification. The disk A has mass 0.5 kg. and the disk C has mass = 4.5 kg. Find: (50 m 5omm pully C I. The difference tension between the palley A Te belt parts (7- T). II. The angular acceleration of the disk С. The angular acceleration of disk A. The angular velocity of the disk C after 5 seconds from the motion start. The transferred torque to the disk C. III. IV. V.
The rotor of the turbine of a yacht makes 1200 r.p.m clockwise when viewed from the stern. The rotor has a mass of 750 kg and its radius of gyration is 250 mm. Find the maximum gyroscopic couple transmitted to the hull (body of the yacht), when the yacht pitches with maximum angular velocity of. 1 rad/s.
Theory af Mach iner u Balancing» Ri:- Four masses A BICand D revolve atequal radil and are Q.:- equallyspaced alony a shaf.The mass 8 is 7 Ky avd the radii'ofcand D malke angles of 90 and 240 respectively with the radius of B Find the magnitude of the masses A Cand D and the angular position of Asothat the System.may be Completely balanced. (Ans 5 yi6 kg, 4.67 kg ; 205 from mass B inanticlockwise
An aeroplane makes a complete half circle of 50 metres radius, towards left, when flying at 200 km per hour. The rotary engine and the propeller of the plane has a mass of 400 kg with a radius of gyration of 300 mm. The engine runs at 2400 r.p.m. clockwise, when viewed from the rear. Find the gyroscopic couple on the aircraft and state its effect on it. What will be the effect, if the aeroplane turns to its right instead of to the left ?
O/A horizont al axle AB, Im dong ,is pivoted at the mid point C It Carries aweight of 2kg at A and awheel weighing Skg at B. The wheel is madetosein at aspeed of 600 r.pim. inadockwise direction Looking from its front A ssum ing that theweight of the flywheel is uniformly distributed around the rim whose mean dlia- meter is 60 Cm. Cadculate the angular velocity of pre ce ssion of System around the Vertical axis through C. Q2/ The rotor of aturbine in stalled in boat with its axis along the Longitud inal axis of the boat makes 1500 r.p.m.elockwise when Vlewed from he Stern. The rotor weighs 730 kg and hasaradius of gyration 3o Cm. If at an istant the boat Pitches in the long itudind Vertical plane So that the bow rises from the horiZontal plame with angular velocity of 1 rad/s, determine the torque acting on the boat aned the direction in which it tends to turn the boat at the instant.
A student holds a bike wheel and starts it spinning with an initial angular speed of 7.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s period following the inital spin, the bike wheel undergoes 45.0 complete rotations. Assuming the frictional torque remains constant, how much more time At, will it take the bike wheel to come to a complete stop? Ats = The bike wheel has a mass of 0.725 kg and a radius of 0.315 m. If all the mass of the wheel is assumed to be located on the rim, find the magnitude of the frictional torque Tf that was acting on the spinning wheel. N. m Tf = - TOOLS x10
2 An object is made of two identical uniform 3m long rods connected as shown. The total mass of the system is 60kg. The object can rotate in the plane of the page about a fixed axis at Point A. There is a friction moment of 500 N m about point A. a. What is the mass moment of inertia of the object about Point A? b. If the object is released from rest in the orientation shown, what will be is initial angular acceleration? stationary Mf A = total mass= 60 kg 500 Nm 3 m 3 m g
The crankshaft of a vertical sıngle-cylinder engine, stroke 250 mm, rotates at 300 r/min The reciprocating parts ( including part of the connecting rod) have a mass of 100kg The connecting rod has a mass of 120 kg, it is 450 mm long, the centre of mass is 300 mm from the gudgeon pin axıs and the radiųs of gyration about the same axıs is 363 mm When the crank is 30° from the t dc position and moving downwards, determine 31 the side thrust on the cylınder walls due to the inertia of the reciprocatıng parts, and 32 the crankshaft torque on the crankshaft due to inertia
A flywheel has a mass of 250 kg, a radius of gyration 1.3 m and operating at 280 rev/min. The flywheel has an angular acceleration of 0.8 rad/s2, it is initially at rest, find its final angular velocity and time taken to attained this velocity. Additionally, find the flywheel torque.
B 0.5 m W AB A 1 m Өв C