A 25 - lb block-on-a-slope (0 = 30°) mechanism has been arranged in the Dynamics lab so that at the state shown, the spring (k = 15 lb/ft) is unstretched, the block has moved down so = 2 ft, and the block is moving downward at vo = 16 ft/s. The coefficient of friction is μ = 0.20. A constant force of F = 10 lb is applied in line with the slope. Determine the additional distance the block moves down the slope when it stops. So 500000- k vo Ө F

A 25 - lb block-on-a-slope (0 = 30°) mechanism has been arranged in the Dynamics lab so that at the state shown, the spring (k = 15 lb/ft) is unstretched, the block has moved down so = 2 ft, and the block is moving downward at vo = 16 ft/s. The coefficient of friction is μ = 0.20. A constant force of F = 10 lb is applied in line with the slope. Determine the additional distance the block moves down the slope when it stops. So 500000- k vo Ө F

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 7.40P: The 60-lb plank rests on a frictionless roller at A, and the 20-lb triangular support BD. Both...

See similar textbooks

Similar questions

The contact surface between the 36-lb block and 20-lb homogenous cylinder is frictionless. Can the system be in static equilibrium 0n the rough inclined plane?
Find the smallest distance d for which the hook will remain at rest when acted on by the force P. Neglect the weight of the hook, and assume that the vertical wall is frictionless.
Calculate the horizontal force P required to push the 85-lb lawn mower at constant speed. The center of gravity of the mower is at G, and the coefficients of rolling resistance are 0.12 for the front wheels and 0.18 for the rear wheels.
The force P applied to the brake handle enables the band brake to reduce the angular speed of a rotating drum. If the tensile strength of the band is 3800 lb, find the maximum safe value of P and the corresponding braking torque acting on the drum. Assume that the drum is rotating clockwise.
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.
The 60-lb plank rests on a frictionless roller at A, and the 20-lb triangular support BD. Both bodies are homogenous. The coefficients of static friction are 0.4 at B and 0.3 at D. Determine the largest force P that can be applied to the plank without initiating motion.
The brake pads at C and D are pressed against the cylinder by the spring BF. The coefficient of static friction between each pad and the cylinder is 0.15. Find the smallest tension in the spring that would prevent the cylinder from rotating when the clockwise couple M=2200lbin. is applied. Neglect the weights of the members.
In a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (250+X) mm while the bottom arms are (300+X) 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 Note X is the student roll no. for example if the student roll no is A20 then X=20
The 10 N cylinder moves in a friction tube. Spring constants are k1 = 150 N / m and k2 = 200 N / m. When the system is at rest, d = 0.5 m. The system rotates around a fixed z-axis. In the case where d = 0.12 m, what is the coefficient of friction for the cylinder to have a constant velocity of 9.825 m / s?
A 2.6-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle 0 is 39°, the angular velocity of the arm about a horizontal axis through O is 52 deg/s clockwise and its angular acceleration is 220 deg/s² counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 520 mm/s. Determine the necessary minimum gripping force Pif the coefficient of static friction between the sphere and the gripping surfaces is 0.61. Compare P with the minimum gripping force P; required to hold the sphere in static equilibrium in the 39° position. 2.0 m Answers: P = i 16.92 N P3 = 20.90 N
A 2.6-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle 0 is 39°, the angular velocity of the arm about a horizontal axis through O is 52 deg/s clockwise and its angular acceleration is 220 deg/s2 counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 520 mm/s. Determine the necessary minimum gripping force Pif the coefficient of static friction between the sphere and the gripping surfaces is 0.61. Compare Pwith the minimum gripping force P, required to hold the sphere in static equilibrium in the 39° position. 2.0 m Answers: P = i P3 = N