Two blocks of mass m = 2.00 kg are connected by a vertical string of negligible mass and unknown tension Tm are hanging vertically. The higher one of these two masses is directly attached to another string of negligible mass and unknown tension T that goes over a frictionless pulley of negligible mass and is connected to a third block of mass M = 6.00 kg. The heavier block is free to slide on an incline (of angle 0 = 30.0° w.r.t. the horizontal) with coefficients of kinetic friction of µA = 0.120 and static friction µ,=0.150 between the block and the incline. The system is released from rest. !! M a) Please perform a test to determine which way the system would like to move in the absence of any friction. b) Please perform a test to determine whether the system will be able to overcome the maximum of static friction and be able to move, or remain at rest instead. c) Determine the magnitude of the normal force N exerted on the third block by the incline. d) Determine BOTH the magnitude and the direction of the acceleration a of the system. e) Determine the magnitude of the tension T'on the rope which goes over the pulley. f) Determine the magnitude of the tension Tm on the vertical string in between the two smaller masses.
Two blocks of mass m = 2.00 kg are connected by a vertical string of negligible mass and unknown tension Tm are hanging vertically. The higher one of these two masses is directly attached to another string of negligible mass and unknown tension T that goes over a frictionless pulley of negligible mass and is connected to a third block of mass M = 6.00 kg. The heavier block is free to slide on an incline (of angle 0 = 30.0° w.r.t. the horizontal) with coefficients of kinetic friction of µA = 0.120 and static friction µ,=0.150 between the block and the incline. The system is released from rest. !! M a) Please perform a test to determine which way the system would like to move in the absence of any friction. b) Please perform a test to determine whether the system will be able to overcome the maximum of static friction and be able to move, or remain at rest instead. c) Determine the magnitude of the normal force N exerted on the third block by the incline. d) Determine BOTH the magnitude and the direction of the acceleration a of the system. e) Determine the magnitude of the tension T'on the rope which goes over the pulley. f) Determine the magnitude of the tension Tm on the vertical string in between the two smaller masses.
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
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Transcribed Image Text:Two blocks of mass m = 2.00 kg are connected by a vertical string of negligible mass and unknown tension Tm
are hanging vertically. The higher one of these two masses is directly attached to another string of negligible
mass and unknown tension T that goes over a frictionless pulley of negligible mass and is connected to a third
block of mass M = 6.00 kg. The heavier block is free to slide on an incline (of angle 0 = 30.0° w.r.t. the
horizontal) with coefficients of kinetic friction of µA = 0.120 and static friction µ,=0.150 between the block and
the incline. The system is released from rest.
!!
M
a) Please perform a test to determine which way the system would like to move in the absence of any friction.
b) Please perform a test to determine whether the system will be able to overcome the maximum of static
friction and be able to move, or remain at rest instead.
c) Determine the magnitude of the normal force N exerted on the third block by the incline.
d) Determine BOTH the magnitude and the direction of the acceleration a of the system.
e) Determine the magnitude of the tension T'on the rope which goes over the pulley.
f) Determine the magnitude of the tension Tm on the vertical string in between the two smaller masses.
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