Part B and C QuestionThe two uniform thin discs shown in the figure rest on a horizontal plane and areconnected through frictionless pin-joints at A and B by a rigid light rod whichremains horizontal. The mass of disc A is 15 kg. and that of disc B is 25 kg. Thestatic coefficients of friction between the plane and discs A and B are, respectively,(,),= 0.2 and (,), = 0.55.At the instant shown, a counter-clockwise moment T = 125 Nm. is applied to discB. You are required to,(a) identify the type of ensuing motion of the discs,(b) draw the free-body, kinematic and kinetic diagrams of the discs,(c) assuming motion initiates with pure rolling, write down theappropriate kinematic and kinetic relationships with respect to asuitable global axes system, and(d) determine, in magnitude and direction, the angular accelerationsof the discs and force developed in the rod AB at the instant themoment T is applied.(e) Validate the pure rolling assumption in part(c) and if slipping isanticipated, explain with supporting arguments, whether one ofthe discs will first slip, or both discs will slip at the same time.You must clearly show details of the analysis that you have carried out usingrelationships in part (c) to arrive at subsequent results in a neat, logical way.0.45 m60⁰0.6 m30.45 m60°0.6 m

In this question, it is asking about the solution of part B only so we will provide the solution for…

The two uniform thin discs shown in the figure rest on a horizontal plane and are connected through frictionless pin-joints at A and B by a rigid light rod which remains horizontal. The mass of disc A is 15 kg. and that of disc B is 25 kg. The static coefficients of friction between the plane and discs A and B are, respectively, (,),= 0.2 and (,), = 0.55. At th 405

The two uniform thin discs shown in the figure rest on a horizontal plane and are connected through frictionless pin-joints at A and B by a rigid light rod which remains horizontal. The mass of disc A is 15 kg. and that of disc B is 25 kg. The static coefficients of friction between the plane and discs A and B are, respectively, (,),= 0.2 and (,), = 0.55. At th 405

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.24P: A uniform plank is supported by a fixed support at A and a drum at B that rotates clockwise. The...

See similar textbooks

Similar questions

A uniform plank is supported by a fixed support at A and a drum at B that rotates clockwise. The coefficients of static and kinetic friction for the two points of contact are as shown. Determine whether the plank moves from the position shown if (a) the plank is placed in position before the drum is set in motion; and (b) the plank is first placed on the support at A and then lowered onto the drum, which is already rotating.
The 40-lb spool is suspended from the hanger GA and rests against a vertical wall. The center of gravity of the spool is at G and the weight of the hanger is negligible. The wire wound around the hub of the spool is extracted by pulling its end with the force P. If the coefficient of static friction between the spool and the wall is 0.25, determine the smallest P that will extract the wire.
Find the largest value of b/h at which the folding table is in equilibrium. The coefficients of static friction are 0.5 at A and 0.3 at C. Neglect the weight of the table.
4) Block B weighing 500 N rests on block A which weighs 300 N. The dynamic coefficient of friction be- tween contact surfaces is 0.4. At wall C there are rollers whose friction we can neglect. What is the ac- celeration of body A when a force F of 5000 N is ap- plied? F De gem B A 20°
Part B please
A uniform slender bar AB with a mass of 20 kg and length of 3.6 m leans on a wall as shown. It is attached to a weightless small roller at end A on a smooth horizontal surface. The coefficient kinetic friction between end B and the wall is 0.25. If the bar is released from rest in the position shown when θ is 30°. Then find, determine the normal force at A. determine the normal force at B. determine the frictional force between end B and the wall.
the uniform slender rod AB shown of weight w is supported by A peg at C and its end A rests against a vertical wall. the coefficients of friction at A and C are equal to f. find the ratio L/a when motion is impending. if θ=30˚ and f=0.3, find the ratio L/a.
A heavy cask (full of wine!) sits on an inclined plane. It is held in place by a rope that is attached to the cask and to a hook further up the inclined plane (at A). The rope comes off of the cask tangent to the cask. The mass of the cask is 40 kg, and the coefficient of static friction between the inclined plane and the cask is 0.25. What is the maximum value of θ just before the cask begins to slip? Also, what is the tension in the rope when slipping is impending? Finally, if the inclined plane became icy, and the rope didn’t break as the cask slipped, what would be remarkable about the lines of action of the W, N and T force vectors once equilibrium was re-established?
A uniform ladder of length 12 mand mass 30 kg rests with one ed on rough horizontal ground and the other end against a smooth vertical wall. The ladder is indined 65°. The coefficient of friction, H, between the ladder and the ground is 0.35. A woman of mass 65 kg is slowly dimbing up the ladder. She wants to know how far up the ladder she can dimb safely. Drawa diagramshowing all the force adting on the ladder when the woman is x metres fromthe foot of the ladder. (a) (b) Find the reaction of the ground on the ladder. (c) Show that the reaction of the wall on the ladder is less than 33.25g By taking moments about the base of the ladder, find how far up th ladder she an dimb safely. (d)
Q6. A wheel with a mass m = 25 kg, rolling radius r = 0.35 m and centroidal radius of gyration k = 0.3 m, rests on a cart of mass M = 50 kg. as shown in Figure Q6. The coefficients of friction between the wheel and the cart are =.3 and =0.2, respectively. You are required to determine the maximum horizontal force P that may be applied to the cart for which the wheel not slip as it begins to roll on the cart. Your solution must contain the following information in the order as listed: (a) Identification of the type of ensuing motion of the wheel and the cart. (b) (c) P (d) Free-body, matic and kinetic diagrams of the system. Statements in readily usable format of the relevant kinetic and kinematic relationships with respect to a global reference axes system. Details, in a concise and systematic way, of calculations of the maximum value of P. M Figure Q6 m, r, k •Hs, Hk
4 10 points A file cabinet weighing 215 lb is being pushed to the right with a horizontal force P applied a distance h from the floor. The width of the file cabinet is w = 15 in., its mass center G is a distance d = 2 ft above the floor, and static friction is insufficient to prevent slipping between the cabinet and the floor. The coefficient of kinetic friction between the cabinet and the floor is Uk = 0.28. Take the value of P to be 70 lb. 01 0!!! 01 Determine the maximum height ŉ at which the cabinet can be pushed so that it does not tip over, and find the corresponding acceleration of the cabinet. The maximum height at which the cabinet can be pushed so that it does not tip over is The acceleration of the cabinet is 1.466 ft/s². 1.7 x ft.
3) The cart shown below weighs 45o lb (weight located at CG, at geometric center of cart). If the wheels are locked, and the coefficient of static friction between the wheels and the ground is o.4 (), will the cart slide down the hill? Yes/No: 8 ft 3 ft CG 1 ft 6 ft 15