A 15.0-kg object and a 10.0-kg object are suspended, joined by a cord that passes over a pulley with a radius of 10.0 cm and a mass of 3.00 kg as shown in the figure on the right hand side. The cord has a negligible mass and does not slip on the pulley. The pulley rotates on its axis without friction. The object start from rest 3.00 m apart. Treat the pulley as a uniform disk. Determine (a) An acceleration of a 15.0 kg object. (b) An angular acceleration of the pulley. (c) the speeds of the two objects as they pass each other.
A 15.0-kg object and a 10.0-kg object are suspended, joined by a cord that passes over a pulley with a radius of 10.0 cm and a mass of 3.00 kg as shown in the figure on the right hand side. The cord has a negligible mass and does not slip on the pulley. The pulley rotates on its axis without friction. The object start from rest 3.00 m apart. Treat the pulley as a uniform disk. Determine (a) An acceleration of a 15.0 kg object. (b) An angular acceleration of the pulley. (c) the speeds of the two objects as they pass each other.
A 15.0-kg object and a 10.0-kg object are suspended, joined by a cord that passes over a pulley with a radius of 10.0 cm and a mass of 3.00 kg as shown in the figure on the right hand side. The cord has a negligible mass and does not slip on the pulley. The pulley rotates on its axis without friction. The object start from rest 3.00 m apart. Treat the pulley as a uniform disk. Determine (a) An acceleration of a 15.0 kg object. (b) An angular acceleration of the pulley. (c) the speeds of the two objects as they pass each other.
A 15.0-kg object and a 10.0-kg object are suspended, joined by a cord that passes over a pulley with a radius of 10.0 cm and a mass of 3.00 kg as shown in the figure on the right hand side. The cord has a negligible mass and does not slip on the pulley. The pulley rotates on its axis without friction. The object start from rest 3.00 m apart. Treat the pulley as a uniform disk. Determine (a) An acceleration of a 15.0 kg object. (b) An angular acceleration of the pulley. (c) the speeds of the two objects as they pass each other.
Transcribed Image Text:3. A 15.0-kg object and a 10.0-kg object are suspended,
joined by a cord that passes over a pulley with a radius of
10.0 cm and a mass of 3.00 kg as shown in the figure on
the right hand side. The cord has a negligible mass and
does not slip on the pulley. The pulley rotates on its axis
without friction. The object start from rest 3.00 m apart.
Treat the pulley as a uniform disk. Determine
(a) An acceleration of a 15.0 kg object.
(b) An angular acceleration of the pulley.
(c) the speeds of the two objects as they pass each other.
M
M= 3.00 kg
R= 10.0 cm
m1 = 15.0 kg
m2 = 10.0 kg
3.00 m
M2
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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