The uniform rod AB is in equilibrium at the position shown, resting on a horizontal floor and tied to the ceiling with a vertical cord BC. The coefficient of friction between the rod and floor is 0.600. Calculate the translational acceleration (magnitude and direction) of the center of mass of the rod and the angular acceleration (magnitude and direction) of the rod at the instant the cord is cut

The uniform rod AB is in equilibrium at the position shown, resting on a horizontal floor and tied to the ceiling with a vertical cord BC. The coefficient of friction between the rod and floor is 0.600. Calculate the translational acceleration (magnitude and direction) of the center of mass of the rod and the angular acceleration (magnitude and direction) of the rod at the instant the cord is cut

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

The solid homogeneous cylinder shown has a mass of 30 kg and is rotating at 1200 rpm clockwise about a fixed horizontal axis through O. The coefficient of kinetic friction between the brake and the cylinder is 0.20. If the tension in the spring when the brake is applied is 100 N, determine the time required for the cylinder to stop rotating. Neglect the thickness of the vertical members. (Draw FBD)
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.
Consider the system of two blocks. Thereis no friction between block A and the tabletop. The mass of block B is5.00 kg. The pulley rotates about a frictionless axle, and the light ropedoesn’t slip on the pulley surface. The pulley has radius 0.200 m andmoment of inertia 1.30 kg . m2. If the pulley is rotating with an angularspeed of 8.00 rad/s after the block has descended 1.20 m, what is themass of block A?
The uniform cylinder has a mass of 30.0kg and is rotating about a horizontal axis through O at 1200 rpm. The coefficient of kinetic friction between the cylinders and braking levers is 0.200. If the spring tension is 100 N, calculate the time required for the cylinder to stop spinning.
In a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (254) mm while the bottom arms are (304) mm long. The friction of the sleeve is 20 N. If the top arms make 45 deg with the axis of rotation in the equilibrium position, find the range of the speed of the governor in that position
The spool has a mass m, and a radius of gyration kG. An inextensible cord is attached to the wall at A. The cord is wound around the inner radius, R, and the outer radius is 2R. The coefficient of friction between the spool and the ground is mu. If instead of applying the force, F, at point B, the spool has an initial angular velocity given as omega naught. Use the work-energy principle to determine how far the center G will move before stopping.
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
The uniform cylindrical drum D weighs 42.0 lb. The coefficient of static friction at all surfaces is 0.600, and the coefficient of kinetic friction is 0.500 at all surfaces. The cylinder is pushed by force P applied to a pad as shown, and it is intended for the cylinder to translate horizontally without rotation. a) Calculate the minimum force P required.b) Calculate the acceleration of the drum.
The system is released from rest with the cable taut, and the homogeneous cylinder does not slip on the rough incline. Determine the angular acceleration of the cylinder and the minimum coefficient µs of friction for which the cylinder will not slip.
The rear-wheel drive bakkie (pick-up), with its centre of gravity at G, is to negotiate a bump from a standing start in the position shown. The static and kinetic coefficients of friction between the tires and the pavement are 0.18 and 0.15 respectively. (a) Determine the largest slope angle θ that can be negotiated assuming that the drive wheels are spinning (b) Determine the largest slope angle θ that can be negotiated assuming that the drive wheels are not spinning.(c) Determine the largest slope angle θ that can be negotiated assuming that the bakkie has front-wheel drive and the drive wheels are spinning.(d) Determine the largest slope angle θ that can be negotiated assuming that the bakkie has front-wheel drive and the drive wheels are not spinning
A large symmetrical drum for drying sand is operated by the geared motor drive shown. If the mass of the sand is 710 kg and an average gear-tooth force of 2.75 kN is supplied by the motor pinion A to the drum gear normal to the contacting surfaces at B, calculate the average offset x¯ of the center of mass G of the sand from the vertical centerline. Neglect all friction in the supporting rollers.Assume r = 140 mm, R = 515 mm, θ= 25°.
The rear-wheel-drive bakkie (pick-up), with its centre of gravity at G, is to negotiate a bump from a standing start in the position shown. The static and kinetic coefficients of friction between the tires and the pavement are 0.18 and 0.15 respectively. Determine the largest slope angle θ that can be negotiated assuming that the drive wheels are spinning.Determine the largest slope angle θ that can be negotiated assuming that the drive wheels are not spinning.Determine the largest slope angle θ that can be negotiated assuming that the bakkie has front-wheel drive and the drive wheels are spinning.Determine the largest slope angle θ that can be negotiated assuming that the bakkie has front-wheel drive and the drive wheels are not spinning.