P1 Calculate the tensions T 10 N 37° 60° T₂ 2 M T and T₂ in the figure below.

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We have an optional assignment for physics, shown below. I've already worked out the problems, but I'm not sure if I'm doing them correctly. I would really appreciate it if someone could explain how to solve the four questions below, as well as the principles behind them. Thank you!

P1
Calculate the tensions T₁ and T₂ in the figure below.
m₁
10 N
37°
60°
T.
2
m2
M
2.
Block 1, of unknown mass m1, is connected over an ideal (massless and frictionless)
pulley to block 2, of mass m2, as shown. Assume that the blocks accelerate as shown
with an acceleration of magnitude a and that the coefficient of kinetic friction between
block 2 and the plane is u.
a) (5 pts) Draw a freebody diagram for block 2.
b) (20 pts) In terms of m1, µ, a, 0, and any other relevant constants, find the mass of
block 2.
-μl
T₁
0
Transcribed Image Text:P1 Calculate the tensions T₁ and T₂ in the figure below. m₁ 10 N 37° 60° T. 2 m2 M 2. Block 1, of unknown mass m1, is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2, as shown. Assume that the blocks accelerate as shown with an acceleration of magnitude a and that the coefficient of kinetic friction between block 2 and the plane is u. a) (5 pts) Draw a freebody diagram for block 2. b) (20 pts) In terms of m1, µ, a, 0, and any other relevant constants, find the mass of block 2. -μl T₁ 0
3.
In the figure shown, the masses start from rest. The pulley
is massless and frictionless, and is attached to a support, but is free to turn
about its center. When the masses are released, the pulley rotates, and the
mass m1 falls through distance h in time 7. In terms of ml, g, h, T, and any
other relevant constants,
a) In terms of h, g, T, and any other relevant constants what is the
acceleration of mass m1 as it falls?
b) In terms of m1, h, g, t, what should the mass m2 be to produce this
acceleration?
O
m1
m2
4.
A driver slams on his brakes, locks the wheels, and skids to a stop with a
constant frictional force. The coefficient of kinetic friction between the car and the tires is μ, and
the car skids a distance d. The mass of the car is m.
a) Draw a free body diagram for the car.
b) In terms of m, d, and µ, find the velocity that the car was traveling when the brakes were
applied.
c) A second identical car skids to a stop in distance d/2. Find the ratio of this car's speed to that
of the car in part (b).
Transcribed Image Text:3. In the figure shown, the masses start from rest. The pulley is massless and frictionless, and is attached to a support, but is free to turn about its center. When the masses are released, the pulley rotates, and the mass m1 falls through distance h in time 7. In terms of ml, g, h, T, and any other relevant constants, a) In terms of h, g, T, and any other relevant constants what is the acceleration of mass m1 as it falls? b) In terms of m1, h, g, t, what should the mass m2 be to produce this acceleration? O m1 m2 4. A driver slams on his brakes, locks the wheels, and skids to a stop with a constant frictional force. The coefficient of kinetic friction between the car and the tires is μ, and the car skids a distance d. The mass of the car is m. a) Draw a free body diagram for the car. b) In terms of m, d, and µ, find the velocity that the car was traveling when the brakes were applied. c) A second identical car skids to a stop in distance d/2. Find the ratio of this car's speed to that of the car in part (b).
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