The diagram below represents a system of two masses (mi and m2), one on an incline (mı) and one hanging (m2). They are joined by an ideal, massless string and the pulley is ideal as well (massless and frictionless). The kinematic coefficient of friction between m: and the incline is uk and the static is .. The system is initially at rest. m, = 15.00kg m2 = 25.00kg mi Hs = 0.4 Hk = 0.2 m2 h a = 30° d = 30.00m h = 50.00m Determine whether the system is moving and which way, and find the acceleration of the system. Find the velocity of mi when it reaches the top the incline (that is, after moving the distance d). If you did not solve a), use this acceleration: 3.6546968 m/s². If somehow the strings become detached right at the point when mi reaches the top, mi becomes a projectile being launched from the top of the track (you can ignore what happens to the other mass and pulley). Determine the range of m; as a projectile. If you did not solve b), use this initial velocity: 14.8081669 m/s.
The diagram below represents a system of two masses (mi and m2), one on an incline (mı) and one hanging (m2). They are joined by an ideal, massless string and the pulley is ideal as well (massless and frictionless). The kinematic coefficient of friction between m: and the incline is uk and the static is .. The system is initially at rest. m, = 15.00kg m2 = 25.00kg mi Hs = 0.4 Hk = 0.2 m2 h a = 30° d = 30.00m h = 50.00m Determine whether the system is moving and which way, and find the acceleration of the system. Find the velocity of mi when it reaches the top the incline (that is, after moving the distance d). If you did not solve a), use this acceleration: 3.6546968 m/s². If somehow the strings become detached right at the point when mi reaches the top, mi becomes a projectile being launched from the top of the track (you can ignore what happens to the other mass and pulley). Determine the range of m; as a projectile. If you did not solve b), use this initial velocity: 14.8081669 m/s.
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Transcribed Image Text:3. The diagram below represents a system of two masses (m, and m2), one on an
incline (mı) and one hanging (m2). They are joined by an ideal, massless string
and the pulley is ideal as well (massless and frictionless). The kinematic
coefficient of friction between mi and the incline is µr and the static is us. The
system is initially at rest.
m1 = 15.00kg
m2 = 25.00kg
Hs = 0.4
Hk = 0.2
m2
a = 30°
d = 30.00m
h = 50.00m
a) Determine whether the system is moving and which way, and find the
acceleration of the system.
b) Find the velocity of mi when it reaches the top the incline (that is, after moving
the distance d). If you did not solve a), use this acceleration: 3.6546968 m/s2.
c) If somehow the strings become detached right at the point when mı reaches the
top, mi becomes a projectile being launched from the top of the track (you can
ignore what happens to the other mass and pulley). Determine the range of m; as
a projectile. If you did not solve b), use this initial velocity: 14.8081669 m/s.
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