Determine the equivalent of the system using the angular motion of the bar 2c k L 4 4 4 4 Slender bar of mass m
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Q: he equivalent of the system
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Determine the equivalent of the system using the angular motion of the bar
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- THE WEIGHT OF THE UNBALANCED WHEEL IS 200 KG AND IT HS A RADIUS OF GYRATION ABOUT ITS MASS CENTER, G, OF 0.3 METERS. AT THE INSTANT SHOWN IT IS ROTATING AT 6 RAD/SIN A CLOCKWISE DIRECTION. FIND THE FORCES BETWEEN AT THE PIVOT POINT C. Please include a Free Body DiagramThe rod AB is non-uniform with a radius of gyration of 4.00 ft with respect to a horizontal axis through the center of mass G. It weighs 161 lb. At the moment shown the rod has a counterclockwise angular velocity of 3.00 rad/sec, and the spring is compressed by 2.00 ft. Calculate the force constant of the spring that will reduce the angular velocity of the rod to 1.50 rad/sec when it reaches the horizontal position. Assume the blocks A and B are weightless.5kg plate, and 3 kg slender rod. FIND, the radius of gyration of the pendulum about an axis perpendicular to the screen and passing through the point G.
- The centroidal mass moment of inertia ofthe pulley assembly is 20 ft-lb-s2. Determine (a) the tension in the cordsupporting 161-lb block , (b)the tension supporting the 322-lb block, and (c) the angularacceleration of the pulley system .Hint: Determine first the direction ofmotion, i.e. will block A move up ordown?The radius of gyration of the 20-kg pulley about its mass center G is 300 mm. Compute the angular acceleration of the pulley and the tension in thecord AB.Determine the equivalent of the system using the angular motion of the upper bar
- if mass (m)=345kg radius of gyration kG = 0.54 m θ= 200 degree 1) assuming no slipping and when starting from horizontal cable (θ = 0o) the spool moves to the left- determine the minimum tension in the cable (Tmin) that causes the spool to slip. Assumeμk = 0.4 and μs = 0.5.Determine the reactions at the pin support and the applied moment if the bar of figure (shown below) has a mass of 50 g. If θ is 15° and the angular acceleration is 20 rad/s².An aeroplane makes a complete half circle of 70 metres radius, towards left, when flying at 500 km per hr. The rotary engine and the propeller of the plane has a mass of 600 kg and a radius of gyration of 0.3 m. The engine rotates at 2500 r.p.m. clockwise when viewed from the rear. Find the gyroscopic couple on the aircraft.
- The uniform slender beam has a total mass of M and rotates freely at the indicated suspension point O. The horizontal beam section has a length of 2/3L and the vertical section has a length of 1/3L. The beam is released from the drawn position a) Draw the full-body diagram.b) Draw the kinematic diagram.c) determine the centre of gravity of the beamd) set up the necessary motion equationse) determine the angular acceleration of the beam (in g/L)f) determine the resulting force in the suspension point O. (leave the mg terms)Gears A and B each have a mass of 2.4 kg and a radius of gyration of 60 mm, while gear C has a mass of 12 kg and a radius of gyration of 150 mm. A torque M with constant magnitude of 10 N.m to gear C. Determine a) the number of revolutions of gear C that is required for its angular velocity to increase from 100 to 450 rpm. b) the corresponding tangential force acting on gear A Please include the free body diagram if necessary.The shown spool has a mass of 100 kg and radius ofgyration of 0.3 m. For P = 70 N and ms =mk = 0.2 thespool rolls without sliding, calculate the angularacceleration of the spool