Problem 19.1 A horizontal force P acts on a cabinet that rests on a floor as shown. The cabinet weighs 120 lbf. It is known that the coefficient of static friction is µ = 0.30 and the coefficient of kinetic friction HK = 0.24. (a) If slipping impends, what is the magnitude of P? (b) If tipping impends, (i) what is the magnitude of P, and (ii) at what point will the resultant floor reaction act? (c) What is the smallest magnitude of P that will cause the cabinet to move? What type of motion will the movement be, i.e., "slip" or "tip"? P 36 inches B G C 24 inches 15 inches

Problem 19.1 A horizontal force P acts on a cabinet that rests on a floor as shown. The cabinet weighs 120 lbf. It is known that the coefficient of static friction is µ = 0.30 and the coefficient of kinetic friction HK = 0.24. (a) If slipping impends, what is the magnitude of P? (b) If tipping impends, (i) what is the magnitude of P, and (ii) at what point will the resultant floor reaction act? (c) What is the smallest magnitude of P that will cause the cabinet to move? What type of motion will the movement be, i.e., "slip" or "tip"? P 36 inches B G C 24 inches 15 inches

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 7.92RP: The test specimen AB is placed in the grip of a tension-testing machine and secured with a wedge....

See similar textbooks

Similar questions

Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair is denoted by G. The coefficient of static friction is 0.2 at B (the contact point between the chairs) and 0.35 at A, C, and D. Determine the smallest force P that would cause sliding.
The coeffient of static friction between the uniform bar AB of weight W and the ground is 0.45. Find the smallest angle and the corresponding force P that would initiate simultaneous tipping and sliding of the bar.
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 square-threaded screw with a pitch of 10 mm and a mean radius of 18 mm drives a gear that has a mean radius of 75 mm. The static and kinetic coefficients of friction between the gear and the screw are 0.12 and 0.06, respectively. The input torque applied to the screw is C0=10Nm. Assuming constant speed operation, determine the output torque C1 acting on the gear.
The test specimen AB is placed in the grip of a tension-testing machine and secured with a wedge. The coefficient of static friction at both surfaces of the specimen is s. If the wedge angle is =18, determine the smallest s for which the grip is self-locking (no slipping takes place regardless of the magnitude of the force P). Neglect the weight of the wedge.
A 200 lb block is in contact with a plane inclined at 30 degrees to the horizontal. A force P, parallel to and acting up the plane, is applied to the body. If the coefficient of static friction is 0.20, find: a. the value of P to just cause the motion to impend up the plane b. the value of P just to prevent motion down the plane c. the magnitude and direction of the friction force F if P= 80 lbs
2. A square threaded screw of mean diameter 25 mm and pitch of thread 6 mm is utilised to lift a weight of 10 kN by a horizontal force applied at the circumference of the screw. Find the magnitude of the [Ans. 966 N] force if the coefficient of friction between the nut and screw is 0.02. A bolt with a squore threaded screw has mean diameter of 25 mm and a nitch of 23 mm It carries an
A 15° wedge is forced under a 50-kg pipe as shown. The coefficient of static friction at all surfaces is 0.20. (a) Show that slipping will occur between the pipe and the vertical wall. (b) Determine the force P required to move the wedge.
When a drawer is pulled by only one of the handles, it tends to twist and rub as shown (highly exaggerated) in Fig. The weight of the drawer and its contents is 2 lb and is uniformly distributed. The coefficient of friction is 0.60 between the sides of the drawer and the sides of the dresser and 0.10 between the bottom of the drawer and the side rails the drawer rides on. Determine the minimum amount of force necessary to pull the drawer out. 0.75 in. 18 in 3 in. 24 in. 3 in. P
..A mass of 4kg rests on a horizontal plane. The plane is gradually inclined until at an angle e= 15° with the horizontal, the mass just begins to slide. What is the coefficient of static friction between the block and the surface?
Problem 4. A.) If the uniform concrete block has a mass of 500 kg, determine the smallest horizontal force P needed to movethe wedge to the left. The coefficient of static friction between the wedge and the concrete and the wedge and the floor is 0.3. The coefficient of static friction between the concrete and floor is 0.5.ANSWER: P=1797.52; N=1.80kNB.)Refer to problem number 4. Calculate the followinga.) the angle of friction between the wedge and the concrete and the wedge and the floor.Answer: ?????? ??? ????????= ?????? ??? ?????= 16.7ob.) the coefficient of static friction between the concrete and floor.Answer: ????????? ??? ?????= 263.56o
The pulley of Fig. wheel that fits loosely over a t in.-diameter shaft. A rope passes over the pulley and is attached to a 50-lb weight. The static and kinetic coefficients of friction between the consists of a 4-in.-diameter pulley and the shaft are 0.35 and 0.25, respectively. The weight of the pulley is 2 lb. The rope being pulled makes an angle 8 = 90° with the horizontal. Determine the force necessary to Just start lowering the weight. P