A block of mass M = 16 kg with a pulley attached slides along a frictionless ledge. It is connected by a massless string to a block of mass m = 5.2 kg.
(a) Find the acceleration of each block.
(b) Find the tension in the connecting string.
A block of mass M = 16 kg with a pulley attached slides along a frictionless ledge. It is connected by a massless string to a block of mass m = 5.2 kg.
(a) Find the acceleration of each block.
(b) Find the tension in the connecting string.
likely answer: both blocks accelerate 2.5 m/s**2 with string tension of about 38N
remember -- gravity (weight) & inertia are two totally different things
assuming horizontal ledge for 16kg mass
assume pulley directs string downward for 5kg mass - the driving force of weight
driving force 50N (by gravity) accelerates total inertial mass of 21kg of about 2.5 m/s**2
5kg block force diagram -- 50N down opposed by upward string tension to give 2.5 m/s**2 down acceleration leaves about 3/4 of the g=10 m/s**2 pulling up, or 3/4 of 50N, or 38N tension
16kg block pulled by same 38N tension gives about the same 2.5 m/s**2 acceleration
Comments
Ben,
This question needs a diagram ( or 1000 more words!) The arrangement of masses, etc is not clear.
BruceS
Bruce. I see a picture at the following link. Perhaps you can answer based on this picture
http://www.chegg.com/homework-help/questions-and-answers/block-mass-m-17kg-pulley-attached-slides-frictionless-ledge-isconnected-massless-string-bl-q339463