Object rotating on a string of changing length. A small mass m attached to the end...
Object rotating on a string of changing length. A small mass m attached to the end of a string revolves in a circle on a friction-less tabletop. The other end of the string passes through a hole in the table. Initially the mass revolves with a speed 2.4 m/s in a circle of radius 0.80 m. The string is then pulled slowly through the hole so that the radius i reduced to 0.48 m. The final speed is 4.0 m/s by pulling the string. Calculate the initial and final kinetic energy of the mass. Where did the energy go or come from?
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Object rotating on a string of changing length. A small mass m
attached to the end...
A small mass m attached to the end of a string revolves in a circle on...
A small mass m attached to the end of a string revolves in a circle on a frictionless tabletop. The other end of the string passes through a hole in the table (Fig. 8-62). Initially, the mass revolves with a speed vi = 2.4 m/s in a circle of radius ri =0.80 m. The string is then pulled slowly through the hole so that the radius is reduced to r2 0.48 m. What is the speed, 2, of the m...
3. (III) Three blocks on a frictionless horizontal surface are in contact with each other as...
3. (III) Three blocks on a frictionless horizontal surface are in contact with each other as shown in Fig. 4-54. A force F is applied to block A (mass mA). (a) Draw a free-body dia- gram for each block. Determine (b) the acceleration of the system (in terms of mA, mB, and mc), (c) the net force on each block, and (d) the force of contact that each block exerts on its neighbor. (e) If mA mB mc- F 96.0N,...
An air puck of mass 0.23 kg is tied to a string and allowed to revolve in a circle of radius 1.2 m on a frictionl...
An air puck of mass 0.23 kg is tied to a string and allowed to revolve in a circle of radius 1.2 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 0.9 kg is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves. a) What is the tension in the string? (b) What is the force...
A mass m0.2kg is attached to the end of a massless string. The mass is rotating...
A mass m0.2kg is attached to the end of a massless string. The mass is rotating in a circular orbit of radius r 0.6m on a frictionless table with period T 1.2s. The string is pulled slowly downwards 0.2m through hole in the table. φ What is the new period of circular orbit for mass m? (ii) How much work is done on the mass?
A small block with mass m is attached to a cord passing through a hole in...
A small block with mass m is attached to a cord passing through
a hole in a frictionless, horizontal surface. The block is
initially revolving at a distance r from the hole with a speed vr.
as shown. (a) By what force F, applied by the hand is the block
held rotating? The cord is then pulled additionally from below,
shortening the radius of the circle in which the block revolves to
At this new distance, (b) what will the...
27. An air puck of mass m, = 0.25 kg is tied to a string and...
27. An air puck of mass m, = 0.25 kg is tied to a string and allowed to revolve in a circle of radius R = 1.0 m on a frictionless hori- zontal table. The other end of the string passes through a hole in the center of the table, and a mass of m, = 1.0 kg is tied to it (Fig. P7.27). The suspended mass remains in equilibrium while the puck on the tabletop revolves. (a) What is...
An air puck of mass 0.18 kg is tied to a string and allowed to revolve...
An air puck of mass 0.18 kg is tied to a string and allowed to revolve in a circle of radius 1.1 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 1.3 kg is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves (a) What is the tension in the string? (6) What is the force...
One end of a string is attached to a 4 kg mass undergoing velocity v1 =...
One end of a string is attached to a 4 kg mass undergoing
velocity v1 = 5 m/s at a radius of
r1 = 500 mm on a frictionless
table. The other end of the string passes through a hole
in the table. Find the velocity v2
of the mass if the string is slowly (assume vr
~ 0) pulled through the hole until its radius is
r2 = 200 mm.
3 ms 500 mm
An object of mass m is on a frictionless table rotating with a given tangential speed...
An object of mass m is on a frictionless table rotating with a given tangential speed vo with a radius of string ri. The string goes down through a hole (no friction) in the table where a given applied force, FA pulls down on the string a given distance d. Then, the object still keeps rotating but in a smaller and smaller circle. Find the final speed of the object after the rope was pulled down the distance d.
An air puck of mass 0.200 kg is tied to a string and allowed to revolve...
An air puck of mass 0.200 kg is tied to a string and allowed to revolve in a circle of radius 1.03 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 1.22 kg is tied to it as seen in the figure below. The suspended mass remains in equilibrium while the puck on the tabletop revolves. What is the tension in the string?...
A small mass m attached to the end of a string revolves in a circle on a frictionless tabletop. The other end of the string passes through a hole in the table (Fig. 8-62). Initially, the mass revolves with a speed vi = 2.4 m/s in a circle of radius ri =0.80 m. The string is then pulled slowly through the hole so that the radius is reduced to r2 0.48 m. What is the speed, 2, of the m...
3. (III) Three blocks on a frictionless horizontal surface are in contact with each other as shown in Fig. 4-54. A force F is applied to block A (mass mA). (a) Draw a free-body dia- gram for each block. Determine (b) the acceleration of the system (in terms of mA, mB, and mc), (c) the net force on each block, and (d) the force of contact that each block exerts on its neighbor. (e) If mA mB mc- F 96.0N,...
An air puck of mass 0.23 kg is tied to a string and allowed to revolve in a circle of radius 1.2 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 0.9 kg is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves. a) What is the tension in the string? (b) What is the force...
A mass m0.2kg is attached to the end of a massless string. The mass is rotating in a circular orbit of radius r 0.6m on a frictionless table with period T 1.2s. The string is pulled slowly downwards 0.2m through hole in the table. φ What is the new period of circular orbit for mass m? (ii) How much work is done on the mass?
A small block with mass m is attached to a cord passing through
a hole in a frictionless, horizontal surface. The block is
initially revolving at a distance r from the hole with a speed vr.
as shown. (a) By what force F, applied by the hand is the block
held rotating? The cord is then pulled additionally from below,
shortening the radius of the circle in which the block revolves to
At this new distance, (b) what will the...
27. An air puck of mass m, = 0.25 kg is tied to a string and allowed to revolve in a circle of radius R = 1.0 m on a frictionless hori- zontal table. The other end of the string passes through a hole in the center of the table, and a mass of m, = 1.0 kg is tied to it (Fig. P7.27). The suspended mass remains in equilibrium while the puck on the tabletop revolves. (a) What is...
An air puck of mass 0.18 kg is tied to a string and allowed to revolve in a circle of radius 1.1 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 1.3 kg is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves (a) What is the tension in the string? (6) What is the force...
One end of a string is attached to a 4 kg mass undergoing
velocity v1 = 5 m/s at a radius of
r1 = 500 mm on a frictionless
table. The other end of the string passes through a hole
in the table. Find the velocity v2
of the mass if the string is slowly (assume vr
~ 0) pulled through the hole until its radius is
r2 = 200 mm.
3 ms 500 mm
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