Question

Consider two blocks of masses m1 and m2 = 1.50m1 that are connected by a massless string over a massless, frictionless pulley. They are both resting in static equilibrium on opposite inclines of a frictionless triangle with angles ?1 for m1 and ?2 for m2. a. Draw a sketch of this problem showing the masses and the angles of the inclines. b. Draw the free body diagrams for both masses, indicating which coordinate system you will be using for each mass. c. Write down x and y components of Newton's second law for each mass. d. Using the equations from part (c), find symbolic the normal forces acting on each block, the tension in the string and the angle ?2 that is needed to ensure static equilibrium. e. For the situation where the mass m2 is now equal to 2.00m1, and ?1 = 60°, what are the accelerations of the two masses? (Hint: use the equation from part (d), using m2 = 1.50m1 to find ?2, then set up a new system of equations for the non-equilibrium situation with m2 = 2.00m1)

          Consider two blocks of masses m1 and m2 = 1.50m1 that are connected by a massless string over a massless, frictionless pulley. They are both resting in static equilibrium on opposite inclines of a frictionless triangle with angles ?1 for m1 and ?2 for m2.
a. Draw a sketch of this problem showing the masses and the angles of the inclines.
b. Draw the free body diagrams for both masses, indicating which coordinate system you will be using for each mass.
c. Write down x and y components of Newton's second law for each mass.
d. Using the equations from part (c), find symbolic the normal forces acting on each block, the tension in the string and the angle ?2 that is needed to ensure static equilibrium.
e. For the situation where the mass m2 is now equal to 2.00m1, and ?1 = 60°, what are the accelerations of the two masses? (Hint: use the equation from part (d), using m2 = 1.50m1 to find ?2, then set up a new system of equations for the non-equilibrium situation with m2 = 2.00m1)

Consider two blocks of masses m1 and m2 = 1.50m1 that are connected by a massless string over a massless, frictionless pulley. They are both resting in static equilibrium on opposite inclines of a frictionless triangle with angles ?1 for m1 and ?2 for m2.
a. Draw a sketch of this problem showing the masses and the angles of the inclines.
b. Draw the free body diagrams for both masses, indicating which coordinate system you will be using for each mass.
c. Write down x and y components of Newton's second law for each mass.
d. Using the equations from part (c), find symbolic the normal forces acting on each block, the tension in the string and the angle ?2 that is needed to ensure static equilibrium.
e. For the situation where the mass m2 is now equal to 2.00m1, and ?1 = 60°, what are the accelerations of the two masses? (Hint: use the equation from part (d), using m2 = 1.50m1 to find ?2, then set up a new system of equations for the non-equilibrium situation with m2 = 2.00m1)

Added by Ruben H.

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