PROBLEM 3 – In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of kinetic friction u = 0.10 between the collar and the shaft, and is acted upon by a force P with a magnitude ofP= 251.432 N at an angle 0 = 30.11° as shown. Knowing that the assembly is initially at rest, what is the time when the velocity reaches to 3 m/s? Also, at this instant, find the tension in the cord and the velocity of block A. Use g=9.81 m/s = 32.2 ft/s W,- 150 N C A WA = 106. 54 N %3D

PROBLEM 3 – In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of kinetic friction u = 0.10 between the collar and the shaft, and is acted upon by a force P with a magnitude ofP= 251.432 N at an angle 0 = 30.11° as shown. Knowing that the assembly is initially at rest, what is the time when the velocity reaches to 3 m/s? Also, at this instant, find the tension in the cord and the velocity of block A. Use g=9.81 m/s = 32.2 ft/s W,- 150 N C A WA = 106. 54 N %3D

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

A small 250-g collar C can slide on a semicircular rod which is made to rotate about the vertical AB at a constant rate of 7.5 rad/s. Knowing that the coefficients of friction are μs = 0.25 and μk = 0.20, indicate whether the collar will slide on the rod if it is released in the position corresponding to (a) 0= 75°, (b) 0 = 40°. Also, determine the magnitude and direction of the friction force exerted on the collar immediately after release.
A cylinder of radius R and mass M is tied to a rope that connects it to a box of mass m, through a pulley of radius R and mass m, as shown in the figure. Assume that to the left of the pulley there is friction on the floor such that the cylinder rolls without slipping, while to the right of the pulley the incline on which the crate slides is frictionless. If m > M and knowing that the box starts from rest at a height h_b and the cylinder starts at a height h_c and ends at a height h_c': (a) Using the conservation of mechanical energy, find the speed of the box when it reaches height h_b'.
Knowing that the coefficient of static friction between the tires and the road is 0.80 for the car as shown in figure 2. At this car, suddenly brakes are applied when it was moving with velocity of 360 inch/sec and it skidded to rest in 240 inch. The mass of the car is 300 pounds. Determine the magnitude of the normal reaction and of the friction force at each wheel as the car skidded to rest.
A baggage conveyor is used to unload luggage from an airplane. The 10-kg duffel bag A is sitting on top of the 20-kg suitcase B . The conveyor is moving the bags down at a constant speed of 0.5 m/s when the belt suddenly stops. Knowing that the coefficient of friction between the belt and B is 0.3 and that bag A does not slip on suitcase B, determine the smallest allowable coefficient of static friction between the bags.
A 7.5-lb collar is released from rest in the position shown, slides down the inclined rod, and compresses the spring. The direction of motion is reversed and the collar slides up the rod. Knowing that the maximum deflection of the spring is 5 in., determine (a) the coefficient of kinetic friction between the collar and the rod, (b) the maximum speed of the collar.
A cylinder of radius R and mass M is tied to a rope that connects it to a box of mass m, through a pulley of radius R and mass m, as shown in the figure. Assume that to the left of the pulley there is friction on the floor such that the cylinder rolls without slipping, while to the right of the pulley the incline on which the crate slides is frictionless. If m > M and knowing that the box starts from rest at a height h, use the equations of translational and rotational dynamics to find the velocity of the crate when it reaches height h'.
A cylinder of radius R and mass M is tied to a rope that connects it to a box of mass m, through a pulley of radius R and mass m, as shown in the figure. Assume that to the left of the pulley there is friction on the floor such that the cylinder rolls without slipping, while to the right of the pulley the incline on which the crate slides is frictionless. If m > M and knowing that the box starts from rest at a height h, use the equations of translational and rotational dynamics to find: (a) The velocity of the crate when it reaches height h'. (b) The normal forces exerted by the floor on the cylinder and box.
SHOW COMPLETE SOLUTION A spring is used to stop 50kg block moving down a 20 degrees inclined plane. The spring has a constant K= 30KN/M and is held by the cables so that it is initially compressed 50mm. Knowing that the velocity of the package is 2m/s when it is 8m from the spring and assuming the kinetic coefficient of friction between the package and the incline is 0.20. Determine: A. Final kinetic energy B. Maximum additional deformation of spring in bringing the block to rest C. Frictional force
The parallel-link mechanism ABCD is used to transport a component I between manufacturing processes at stations E,F, and G by picking it up at a station when 0 = 0 and depositing it at the next station when 0= 180°. Knowing that member BC remains horizontal throughout its motion and that links AB and CD rotate at a constant rate in a vertical plane in such a way that VB = 2.2 ft/s, determine (a) the minimum value of the coefficient of static friction between the component and BC if the component is not to slide on BC while being transferred, (b) the values of 0 for which sliding is impending.
A 50-lb electric floor polisher is operated on a surface for which the coefficient of kinetic friction is 0.25. Assuming that the normal force per unit area between the disk and the floor is uniformly distributed, determine the magnitude Q of the horizontal forces required to prevent motion of the machine.
Show the complete solution. Put notes on steps. In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of kinetic friction pk = 0.10 between the collar and the shaft, and is acted upon by a force P with a magnitude of P = 261.65 N at an angle e = 31.16° as shown. Knowing that the assembly is initially at rest, what is the velocity after 3s? Also, at this instant, find the tension in the cord and the velocity of block A.
A series of small packages, each with a mass of 0.5 kg, are discharged from a conveyor belt as shown. Knowing that the coefficient of static friction between each package and the conveyor belt is 0.4, determine (a) the force exerted by the belt on the package just after it has passed point A, (b) the angle 0 defining the point B where the packages first slip relative to the belt.