two masses of m=4 lg and m= 6 kg are joined together by a string that...
two masses of m=4 lg and m= 6 kg are joined together by a string that passes over a pulley(atwood's machine). The masses are held stationary and suddenly released. Determine the acceleration of each mass
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two masses of m=4 lg and m= 6 kg are joined together
by a string that...
Atwood's Machine An Atwood's machine consists of two masses, m1 and m2. connected by a string that passes over a pulley.
Atwood's Machine An Atwood's machine consists of two masses, m1 and m2. connected by a string that passes over a pulley. Part A If the pulley is a disk of radius R and mass M. find the acceleration of the masses.
Two objects with masses of 2.45 kg and 4.15 kg are connected by a light string...
Two objects with masses of 2.45 kg and 4.15 kg are connected by a light string that passes over a light frictionless pulley to form an Atwood machine, as in Figure 5.14a. Figure 5.14a (a) Determine the tension in the string. Incorrect: Your answer is incorrect. N (b) Determine the acceleration of each object. m/s2 upwards (2.45 kg mass) m/s2 downwards (4.15 kg mass) (c) Determine the distance each object will move in the first second of motion if they...
QUESTION 5 [25 marks] Two masses mi and m are joined by an inextensible string of...
QUESTION 5 [25 marks] Two masses mi and m are joined by an inextensible string of length I, as shown in Figure 2. The string passes over a massless pulley with frictionless bearings and radius R. The acceleration of gravity g points vertically downwards (a) 13 marks] Write down the Lagrangian, using the position of mass mi as the generalized coordinate m1 (b) 12 marks] Find the Lagrange equation of motion and solve it for 白m2 acceleration of mass mi...
4. Two unequal masses m1 = 10 kg and m2= 30 kg initially at rest are connected...
4. Two unequal masses m1 = 10 kg and m2= 30
kg initially at rest are connected by an ideal string
that passes over a pulley whose mass and friction are negligible as
shown in the figure below. Determine:
a) The acceleration of the masses.
b) The tension on the connecting string.
c) The speed of m2 after it has descended 2.0 m.
4. Blocks of masses 11.0 kg and 25.0 kg hang on opposite sides of a pulley...
4. Blocks of masses 11.0 kg and 25.0 kg hang on opposite sides of a pulley (Atwood's machine) with a massless string that rotates the pulley without slippage. The mass of the pulley is 1.5 kg and it has a radius of 15.0 cm. The heavier mass is 2.5 m above the ground and the lighter mass is 1.2 m above the ground. Using energy consideration, determine the velocity of the two masses when the heavier mass hits the ground....
Two objects with masses of 2.90 kg and 6.90 kg are connected by a light string...
Two objects with masses of 2.90 kg and 6.90 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. (a) Determine the tension in the string. (Enter the magnitude only.) CN (b) Determine the acceleration of each object. (Enter the magnitude only.) 0 m/s2 (c) Determine the distance each object will move in the first second of motion if both objects start from rest. cm
A device known as Atwood's machine consists of two masses hanging from the ends of a...
A device known as Atwood's machine consists of two masses hanging from the ends of a vertical rope that passes over a pulley. Assume the rope and pulley are massless and there is no friction in the pulley. When the masses are of 20.5 kg and 12.1 kg, calculate their acceleration, a, and the tension in the rope, T. Take g = 9.81 m/s2. Answer the acceleration in m/s2 and answer the tension in Newtons.
Two objects with masses of m1 = 2.70 kg and m2 = 5.70 kg are connected...
Two objects with masses of m1 = 2.70 kg and
m2 = 5.70 kg are connected by a light string
that passes over a frictionless pulley, as in the figure below.
(a) Determine the tension in the string. (Enter the magnitude
only.)
N
(b) Determine the acceleration of each object. (Enter the magnitude
only.)
m/s2
(c) Determine the distance each object will move in the first
second of motion if both objects start from rest.
m
Two objects with masses...
Two packing crates of masses m-10.0 kg and m2-3.30 kg are connected by a light string...
Two packing crates of masses m-10.0 kg and m2-3.30 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 3.30-kg crate lies on a smooth incline of angle 38.0°. Find the following (a) trie acceleration of the 3.30-kg crate m/s2 (up the incline) (b) the tension in the string
3)Two objects with masses ofm1=30.00 kg and m2-50.00 kg are connected by a light string that...
3)Two objects with masses ofm1=30.00 kg and m2-50.00 kg are connected by a light string that passes over a friction-less pulley. Determine a) the tension in the string. b) the acceleration of each object, and c) the distance each object will move in 2s if both objects start from rest
QUESTION 5 [25 marks] Two masses mi and m are joined by an inextensible string of length I, as shown in Figure 2. The string passes over a massless pulley with frictionless bearings and radius R. The acceleration of gravity g points vertically downwards (a) 13 marks] Write down the Lagrangian, using the position of mass mi as the generalized coordinate m1 (b) 12 marks] Find the Lagrange equation of motion and solve it for 白m2 acceleration of mass mi...
4. Two unequal masses m1 = 10 kg and m2= 30
kg initially at rest are connected by an ideal string
that passes over a pulley whose mass and friction are negligible as
shown in the figure below. Determine:
a) The acceleration of the masses.
b) The tension on the connecting string.
c) The speed of m2 after it has descended 2.0 m.
4. Blocks of masses 11.0 kg and 25.0 kg hang on opposite sides of a pulley (Atwood's machine) with a massless string that rotates the pulley without slippage. The mass of the pulley is 1.5 kg and it has a radius of 15.0 cm. The heavier mass is 2.5 m above the ground and the lighter mass is 1.2 m above the ground. Using energy consideration, determine the velocity of the two masses when the heavier mass hits the ground....
Two objects with masses of 2.90 kg and 6.90 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. (a) Determine the tension in the string. (Enter the magnitude only.) CN (b) Determine the acceleration of each object. (Enter the magnitude only.) 0 m/s2 (c) Determine the distance each object will move in the first second of motion if both objects start from rest. cm
Two objects with masses of m1 = 2.70 kg and
m2 = 5.70 kg are connected by a light string
that passes over a frictionless pulley, as in the figure below.
(a) Determine the tension in the string. (Enter the magnitude
only.)
N
(b) Determine the acceleration of each object. (Enter the magnitude
only.)
m/s2
(c) Determine the distance each object will move in the first
second of motion if both objects start from rest.
m
Two objects with masses...
Two packing crates of masses m-10.0 kg and m2-3.30 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 3.30-kg crate lies on a smooth incline of angle 38.0°. Find the following (a) trie acceleration of the 3.30-kg crate m/s2 (up the incline) (b) the tension in the string
3)Two objects with masses ofm1=30.00 kg and m2-50.00 kg are connected by a light string that passes over a friction-less pulley. Determine a) the tension in the string. b) the acceleration of each object, and c) the distance each object will move in 2s if both objects start from rest
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