17.81 A 1.8-kg collar A and a 0.7-kg collar B can slide without friction on a frame, consisting of the horizontal rod OE and the vertical rod CD, which is free to rotate about its vertical axis of symmetry. The two collars are connected by a cord running over a pulley that is attached to the frame at O. At the instant shown, the velocity v of collar A has a magnitude of 2.1 m/s and a stop prevents collar B from moving. The stop is suddenly re- moved and collar A moves toward E. As it reaches a distance of 0.12 m from O, the magnitude of its velocity is observed to be 2.5 m/s. Determine at that instant the magnitude of the angular velocity of the frame and the moment of inertia of the frame and pulley system about CD.

17.81 A 1.8-kg collar A and a 0.7-kg collar B can slide without friction on a frame, consisting of the horizontal rod OE and the vertical rod CD, which is free to rotate about its vertical axis of symmetry. The two collars are connected by a cord running over a pulley that is attached to the frame at O. At the instant shown, the velocity v of collar A has a magnitude of 2.1 m/s and a stop prevents collar B from moving. The stop is suddenly re- moved and collar A moves toward E. As it reaches a distance of 0.12 m from O, the magnitude of its velocity is observed to be 2.5 m/s. Determine at that instant the magnitude of the angular velocity of the frame and the moment of inertia of the frame and pulley system about CD.

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

Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A 3.5-kg slender rod AB and a 2-kg slender rod BC are connected by a pin at B and by the cord AC. The assembly can rotate in a vertical plane under the combined effect of gravity and a couple M applied to rod BC. In the position shown, the angular velocity of the assembly is zero and the tension in cord AC is equal to 26.8 N. 300 mm A 400 mm 400 mm M B Determine the angular acceleration of the assembly. (You must provide an answer before moving to the next part.) rad/s²0. The angular acceleration of the assembly is
A 240-lb block is suspended from an inextensible cable which is wrapped around a drum of 1.25-ft radius rigidly attached to a flywheel. The drum and flywheel have a combined centroidal moment of intertia of 10.5 lb-ft-s^2. At the instant shown, the velocity of the block is 6 ft/s directed downward. The bearing at A as a frictional moment of 60 lb-ft. What is the kinetic energy of the system after the block moved after 4ft? (in ft-lb)
The 15 lb, 3.6 ft long uniform bar is attached to the 25 lb cart. The system is known to start at rest in the position shown. Neglecting the effect of friction, determine: 1. The velocity of point B, when the bar AB passes through the vertical position attached exercise image
Two disks of the same material are attached to a shaft as shown. Disk A has a radius r and a thickness 2b, while disk B has a radius nr and a thickness 2b. A couple M with a constant magnitude is applied when the system is at rest and is removed after the system has executed two revolutions. Determine the value of n that results in the largest final speed for a point on the rim of disk B.
The 9-kg rod AB, which length is 2.0-m, is pin connected at A and attached to a horizontal spring at B. The spring will always remain horizontal. k M 1. The rod is subjected at A to a couple M. The rod forms an angle 0-30° with the vertical when the spring, of stiffness 27 N.m, is unstretched. Determine the couple M required to the observe an angular velocity of the rod w=6 rad/s when 0 =51.
A 1.8-kg collar A and a 0.7-kg collar B can slide without friction on a frame, consisting of the horizontal rod OE and the vertical rod CD, which is free to rotate about its vertical axis of symmetry. The two collars are connected by a cord running over a pulley that is attached to the frame at O. At the instant shown, the velocity vA of Collar A has a magnitude of 2.1 m/s and a stop prevents collar B from moving. The stop is suddenly removed and collar A moves toward E. As it reaches a distance of 0.12 m from, the magnitude of its velocity is observed to be 2.5 m/s. Determine at that instant the magnitude of the angular velocity of the frame and the moment of inertia of the frame and pulley system about CD.
3. minor arc AB of a vertical circle with centre O and radius / m, as shown in the diagram. particle P of mass m kg. The particle P is set in motion so that it moves back and forth along the One end of a light rod of length / m is attached to a fixed point O and the other end is attached to a P B C When P is at its lowest point C, its speed is u ms and the tension in the rod is 2mg N. (a) Show that u = √gl. (b) The speed of P when OP makes an angle 8 with the vertical is denoted by v ms. Show that v² = gl (2cos8 - 1). (c) Find the greatest value of 8. (d) Find the value of 0 when the tension in the rod is mg N.
The double pulley shown in the figure has a mass of 3 kg and a radius of 100 mm rotation. Knowing that when the pulley is at rest, it is applied to the cable in B, a force P of magnitude equal to 24N, determine the speed of the center of the pulley after 1.5 s and the tensile force on cable C.
A locomotive consists of multi cylinder reciprocating engine running at a speed of 4 r.p.s having a stroke length of 27cm, which carries a mass of reciprocating part whose magnitude is 14kgs with a revolving part of 5kgs rotating at 16cm radius. If two third of the reciprocating parts and all the revolving parts are to be balanced, determine the following when the crank has rotated 520 from top dead centre to bottom dead centre. 1. Maximum primary unbalanced force of reciprocating mass in newtons ) 2. Balancing mass required at a radius of 44cm in kgs 3. Variation of maximum & minimum tractive force in newtons 4. Variation of maximum & minimum swaying couple for the given centre distance 74cm between the two cylinders in (N-m) 5. Magnitude…
A locomotive consists of multi cylinder reciprocating engine running at a speed of 8 r.p.s having a stroke length of 29cm, which carries a mass of reciprocating part whose magnitude is 11kgs with a revolving part of 5kgs rotating at 17cm radius. If two third of the reciprocating parts and all the revolving parts are to be balanced, determine the following when the crank has rotated 500 from top dead centre to bottom dead centre. solve 4 and 5 1. Maximum primary unbalanced force of reciprocating mass in newtons 2. Balancing mass required at a radius of 41cm in kgs 3. Variation of maximum & minimum tractive force in newtons 4. Variation of maximum & minimum swaying couple for the given centre distance 76cm between the two cylinders in (N-m) 5. Magnitude…
Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A 4-kg slender rod is welded to the edge of a 3-kg uniform disk as shown. The assembly rotates about A in a vertical plane under the combined effect of gravity and of the vertical force P. Know that at the instant shown, the assembly has an angular velocity of 12 rad/s and an angular acceleration of 36.5 rad/s2, both counterclockwise. 120 mm Determine the force P. B The force P is D 240 mm с 240 mm (You must provide an answer before moving on to the next part.) |N.↓
The 6-lb steel cylinder A of radius r and the 10-lb wooden cart B are at rest in the position shown when the cylinder is given a slightnudge, causing it to roll without sliding along the top surface of the cart. Neglecting friction between the cart and the ground, determine the velocity of the cart as the cylinder passes through the lowest point of the surface at C.