Two objects are connected by a massless string, as shown in the figure below. The incline and pulley are frictionless.
(a) Find the acceleration of the objects. (Assume that positive acceleration is to the right for m1 and downward for m2. Answer using m1 for m1, m2 for m2, g for the acceleration
due to gravity, and theta)
a =
Find the tension in the string.
T =
(b) Find the acceleration and tension for θ = 32° and m1 = m2 = 10 kg.
a =? m/s^2
T = ?N
4 answers
This is kind of challenging without the figure but all you really need is F = m a and weight = mass * local gravity
The figure is just an inclined plane with two weights, both with a mass of 10kg but labeled M1 and M2 that are attached by a string. The pully is on the top point of the inclined plane and one weight is resting on the inclined plane with the other is hanging off the top point where the pully is. Does that make sense?
I really need help with this problem and I honestly have no clue how only knowing the force and weight will help find the tension if there is no friction.
T is tension
if the slope of the plane is 32 degrees
component of weight down plane =
10 (9.81) sin 32
which is trying to accelerate the mass down the slope
so if acceleration up slope is a
then
T - 98.1 sin 32 = 10 a
now the hanging mass
force down = mg - T
98.1 - T = 10 a
You now have two equations in T and a
add them to eliminate T
98.1 - 98.1 sin 32 = 20 a
solve for a
go back and solve for T
if the slope of the plane is 32 degrees
component of weight down plane =
10 (9.81) sin 32
which is trying to accelerate the mass down the slope
so if acceleration up slope is a
then
T - 98.1 sin 32 = 10 a
now the hanging mass
force down = mg - T
98.1 - T = 10 a
You now have two equations in T and a
add them to eliminate T
98.1 - 98.1 sin 32 = 20 a
solve for a
go back and solve for T
0 answers