A yo-yo: A simple model of the yo-yo toy is below. A string is wound around...
A yo-yo: A simple model of the yo-yo toy is below. A string is wound around a uniform disk of radius R=0.3 m and mass M=2kg. The disk is released from rest when the string is vertical and its top end is tied to a fixed bar as in the figure below.
- Find the torque of the disk around THE CONTACT POINT.
- Find the speed of the yo-yo center of mass once it went down 2 meters.
Homework Answers
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A yo-yo: A simple model of the yo-yo toy is below. A string is
wound around...
A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. See the figure below.
A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. See the figure below. (Submit a file with a maximum size of 1 MB.) (a) Show that the tension in the string is one third of the weight of the disk. (b) Show that the magnitude of the acceleration of the center of mass is 2g/3. (c) Show that the...
Question 7(a). A string is wound around a uniform disc of mass M and radius R....
Question 7(a). A string is wound around a uniform disc of mass M and radius R. The dise is released from rest with the string vertical and its top end tied to a fixed bar (Fig.4). Find 6 the tension in the string. (ii) the magnitude of acceleration of the centre of mass. (ii) the speed of the centre of mass of the disc after it has descended through the distance h. 2 121 121 Figure 4 Question 7(b). A...
A string is wound around a disk of mass M = 215 kg and a radius...
A string is wound around a disk of mass M = 215 kg and a radius of R = 0.310 m. The disk is free to rotate about its center by a frictionless pin. The other end of the string is attached to a mass m = 87.0 kg. The mass is released from rest and travels downward causing the cylinder to rotate. How many revolutions did the disk make 6 seconds after the release of mass m from rest?
A string is wrapped around a uniform cylinder of mass M and radius R as shown...
A string is wrapped around a uniform cylinder of mass M and radius R as shown in figure 4. The cylinder is released from rest with the string vertical and its top end tied to a fixed bar. a. Show that the tension in the string is one-third the weight of the cylinder. b. Show that the magnitude of the acceleration of the center of gravity is 2g/3. c. Show that the speed of the center of gravity is (4gl/3)^1/2...
A mass of 5kg starts from rest and pulls down vertically on a string wound around...
A mass of 5kg starts from rest and pulls down vertically on a string wound around a disk-shaped, massive pulley. The mass of the disk is 5kg and its radius is 2 m. What is the linear speed, in m/s, after the mass drops by 0.3 m? What's the concept here? Kinetic Energy of Rotation or are we supposed to use Torque? If someone can help me with the concept and give me steps on how to solve this, it...
A solid, 3.00-kg disk has a string wrapped around its circumference as shown below. The string...
A solid, 3.00-kg disk has a string
wrapped around its circumference as shown below. The string is
attached to the ceiling. When the disk is released, it accelerates
downward as the string unrolls. The disk has a radius of 20.0 cm.
What will be the linear velocity of its center of mass after it
falls through a distance of 3.00 meters? (Note: not all the
information given is needed.) Ignore friction.
Ans: 6.26 m/s
A massless string is wrapped around a uniform solid cylinder, or a yo-yo, and the yo-yo...
A massless string is wrapped around a uniform solid cylinder, or a yo-yo, and the yo-yo starts falling from rest. Find the falling speed, in m/s, of the yo-yo when it drops to 0.91 m lower.
please show steps clearly please also use both forms of newtons 2nd Law to relate both...
please show steps clearly
please also use both forms of newtons 2nd Law
to relate both forms of newtons 2nd Law using a=R(alpha) both
a and alpha must be expressed in a way that makes their magnitudes
positive
-use kinematics for part c
-include an energy diagram when confirming with the energy
approach and assume there is no work done by external forces for
the disk-string-earth system in part d
rotatioll Is LCIU. DU solving a transcendental equation numerically. 41....
A 100g ball is tied to a string so that the center of mass hangs 50...
A 100g ball is tied to a string so that the center of mass hangs 50 cm below the point where the string is tied to a support rod. The ball is pulled aside to a 60° angle with vertical and released. As the string approaches vertical, it encounters a peg D cm below the support rod. The string then bends around the peg. What is the smallest value of D for which the ball will move in a circle...
A 3-kg mass is attached to a light, thin string that is wound around a uniform...
A 3-kg mass is attached to a light, thin string that is wound around a uniform cylinder with a mass of 4 kg and a radius of 4 cm. The 3-kg mass is released from rest and the cylinder turns without friction as the 3-kg mass falls. a) What is the speed of the 3-kg mass after it falls 40 cm? the angular speed of the cylinder after the mass falls 40 cm?
Question 7(a). A string is wound around a uniform disc of mass M and radius R. The dise is released from rest with the string vertical and its top end tied to a fixed bar (Fig.4). Find 6 the tension in the string. (ii) the magnitude of acceleration of the centre of mass. (ii) the speed of the centre of mass of the disc after it has descended through the distance h. 2 121 121 Figure 4 Question 7(b). A...
A string is wrapped around a uniform cylinder of mass M and radius R as shown in figure 4. The cylinder is released from rest with the string vertical and its top end tied to a fixed bar. a. Show that the tension in the string is one-third the weight of the cylinder. b. Show that the magnitude of the acceleration of the center of gravity is 2g/3. c. Show that the speed of the center of gravity is (4gl/3)^1/2...
A solid, 3.00-kg disk has a string
wrapped around its circumference as shown below. The string is
attached to the ceiling. When the disk is released, it accelerates
downward as the string unrolls. The disk has a radius of 20.0 cm.
What will be the linear velocity of its center of mass after it
falls through a distance of 3.00 meters? (Note: not all the
information given is needed.) Ignore friction.
Ans: 6.26 m/s
please show steps clearly
please also use both forms of newtons 2nd Law
to relate both forms of newtons 2nd Law using a=R(alpha) both
a and alpha must be expressed in a way that makes their magnitudes
positive
-use kinematics for part c
-include an energy diagram when confirming with the energy
approach and assume there is no work done by external forces for
the disk-string-earth system in part d
rotatioll Is LCIU. DU solving a transcendental equation numerically. 41....
A 3-kg mass is attached to a light, thin string that is wound around a uniform cylinder with a mass of 4 kg and a radius of 4 cm. The 3-kg mass is released from rest and the cylinder turns without friction as the 3-kg mass falls. a) What is the speed of the 3-kg mass after it falls 40 cm? the angular speed of the cylinder after the mass falls 40 cm?
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