![1. [12 points total] Consider the experiment shown below. You may assume that the string is massless, and the pulley is frict](http://img.homeworklib.com/questions/06ccd290-471d-11ea-8a2a-13ee03d35327.png?x-oss-process=image/resize,w_560)
![B. [3 pts] Determine the magnitude and direction of the acceleration of mi. C. [3 pts] Is the magnitude of the net force on m](http://img.homeworklib.com/questions/075a5480-471d-11ea-8f08-e30b7d9e7283.png?x-oss-process=image/resize,w_560)
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1. [12 points total] Consider the experiment shown below. You may assume that the string is...
0.100 m Problem 5 A Pi as shown below. The around this pulley with one end...
0.100 m Problem 5 A Pi as shown below. The around this pulley with one end attached to a wall and the other to an object of mass m2 on a frictionless and horizontal table. (a) If ai and a2 are the accelerations of mi and m2, respectively what is the relation between these two accelerations? (b) Find an expression for the tensions in the strings in terms of the masses m; and m2 (c) Find the accelerations ai and...
4-i- A block is moving on the frictionless road as shown. It is passing by points...
4-i- A block is moving on the frictionless road as shown. It is passing by points A, B and C at velocities of va, VB and ve respectively. The radii of the circular parts are R. Write the centripetal accelerations a at points A, B, C and draw the vectors a (where necessary). (6 pts) i- a- Two blocks of masses mi and m2 are connected by a massless and inextensible rope, passing over a massless pulley, mı being on...
4. [14pts total] In class we solved a variation on the Atwood machine to find the...
4. [14pts total] In class we solved a variation on the Atwood machine to find the mag- nitude of the acceleration of the masses, a, and the tension in the string connecting them, T. Now consider this arrangement: e me 02 / Figure 1 If we had solved the case shown in Figure 1, where the surfaces are frictionless and the pulley is massless and frictionless, we would have found: (_ (m2 sin 02 – mj sin 01)g (mi +...
Two blocks are connected by a massless string over a pulley. Block 1 has mass mi=20kg...
Two blocks are connected by a massless string over a pulley. Block 1 has mass mi=20kg and is on horizontal table Block 2 has toas my = 10kg and is on a ramp inclined at angle A = 30" The pulley has a mass M-15 kg and radius R = 20 and can be treated like a disk with uniform a distribution. The string never slips against the pulley. mi a) Supposem travels 4 m to the right when m2...
Two objects are attached with a massless string over a massless, frictionless pulley as shown below....
Two objects are attached with a massless string over a massless, frictionless pulley as shown below. The horizontal surface is frictionless. Draw the free body diagrams for the masses. Include the assumed directions for the accelerations of the masses. Write down the expressions from Newton's 2nd Law for the two masses. Clearly indicate the coordinate systems used for each mass. Determine the acceleration of the masses.
Problem 1. (10 pts) Consider a pulley that is well-approximated as a vertical disc of radius...
Problem 1. (10 pts) Consider a pulley that is well-approximated as a vertical disc of radius R = 0.125 m and mass M = 4.1 kg that can rotate about an axis through its center. A massless, inextensible string is hung over the pulley and two small masses mı = 0.15 kg and m2 = 0.20 kg are hung, one on each end of the string. They are released and the pulley begins to rotate as the small masses accelerate,...
4- i- A block is moving on the frictionless road as shown. It is passing by...
4- i- A block is moving on the frictionless road as shown. It is passing by points A, B and C at velocities of va, VB and ve respectively. The radii of the circular parts are R. Write the centripetal accelerations a at points A, B, C and draw the vectors a (where necessary). (6 pts) ii- a- Two blocks of masses mi and m2 are connected by a massless and inextensible rope, passing over a massless pulley, mı being...
Problem 2: (6 pts) ) Two masses are connected by a string as shown in the figure below. Mass mB = 2.00 kg moves up while mA 12.0 kg moves down a frictionless inclined. The pulley is frictionless...
Problem 2: (6 pts) ) Two masses are connected by a string as shown in the figure below. Mass mB = 2.00 kg moves up while mA 12.0 kg moves down a frictionless inclined. The pulley is frictionless and has a mass M-2.00 kg, and a radius R-0.200 m (1= ½ MR) (a) Draw the free body diagram for the masses and pulley separately. (b) Use Newton's Second Law of Motion to find the resulting acceleration (2pts) (2pts) (2pts) of...
9. Two objects are connected by a light string rigure 3. Assume the incline is frictionless...
9. Two objects are connected by a light string rigure 3. Assume the incline is frictionless and take mi (a) Draw the free body diagrams of both objects. The magnitude of the acceleration of the objects. (c) The tension in the string. ant string that passes over a frictionless pulley as shown in Ss and take mi = 1.5 kg, m2= 7.8 kg, and 0 =53°
3. A frictionless and massless pulley with radius Ri and string of li is suspended as...
3. A frictionless and massless pulley with radius Ri and string of li is suspended as shown in Fig. 1. One end connects with a mass mi and the other with another frictionless pulley of mass m with radius R2 and string /2, joining two masses ms and ms at the two ends. (a) Find the equations of holonomic constraints. (b) Find the equations of motion for masses mi, m2, m3, and m4. (c) Find the solutions for the undetermined...
0.100 m Problem 5 A Pi as shown below. The around this pulley with one end attached to a wall and the other to an object of mass m2 on a frictionless and horizontal table. (a) If ai and a2 are the accelerations of mi and m2, respectively what is the relation between these two accelerations? (b) Find an expression for the tensions in the strings in terms of the masses m; and m2 (c) Find the accelerations ai and...
4-i- A block is moving on the frictionless road as shown. It is passing by points A, B and C at velocities of va, VB and ve respectively. The radii of the circular parts are R. Write the centripetal accelerations a at points A, B, C and draw the vectors a (where necessary). (6 pts) i- a- Two blocks of masses mi and m2 are connected by a massless and inextensible rope, passing over a massless pulley, mı being on...
4. [14pts total] In class we solved a variation on the Atwood machine to find the mag- nitude of the acceleration of the masses, a, and the tension in the string connecting them, T. Now consider this arrangement: e me 02 / Figure 1 If we had solved the case shown in Figure 1, where the surfaces are frictionless and the pulley is massless and frictionless, we would have found: (_ (m2 sin 02 – mj sin 01)g (mi +...
Two blocks are connected by a massless string over a pulley. Block 1 has mass mi=20kg and is on horizontal table Block 2 has toas my = 10kg and is on a ramp inclined at angle A = 30" The pulley has a mass M-15 kg and radius R = 20 and can be treated like a disk with uniform a distribution. The string never slips against the pulley. mi a) Supposem travels 4 m to the right when m2...
Two objects are attached with a massless string over a massless, frictionless pulley as shown below. The horizontal surface is frictionless. Draw the free body diagrams for the masses. Include the assumed directions for the accelerations of the masses. Write down the expressions from Newton's 2nd Law for the two masses. Clearly indicate the coordinate systems used for each mass. Determine the acceleration of the masses.
Problem 1. (10 pts) Consider a pulley that is well-approximated as a vertical disc of radius R = 0.125 m and mass M = 4.1 kg that can rotate about an axis through its center. A massless, inextensible string is hung over the pulley and two small masses mı = 0.15 kg and m2 = 0.20 kg are hung, one on each end of the string. They are released and the pulley begins to rotate as the small masses accelerate,...
4- i- A block is moving on the frictionless road as shown. It is passing by points A, B and C at velocities of va, VB and ve respectively. The radii of the circular parts are R. Write the centripetal accelerations a at points A, B, C and draw the vectors a (where necessary). (6 pts) ii- a- Two blocks of masses mi and m2 are connected by a massless and inextensible rope, passing over a massless pulley, mı being...
Problem 2: (6 pts) ) Two masses are connected by a string as shown in the figure below. Mass mB = 2.00 kg moves up while mA 12.0 kg moves down a frictionless inclined. The pulley is frictionless and has a mass M-2.00 kg, and a radius R-0.200 m (1= ½ MR) (a) Draw the free body diagram for the masses and pulley separately. (b) Use Newton's Second Law of Motion to find the resulting acceleration (2pts) (2pts) (2pts) of...
9. Two objects are connected by a light string rigure 3. Assume the incline is frictionless and take mi (a) Draw the free body diagrams of both objects. The magnitude of the acceleration of the objects. (c) The tension in the string. ant string that passes over a frictionless pulley as shown in Ss and take mi = 1.5 kg, m2= 7.8 kg, and 0 =53°
3. A frictionless and massless pulley with radius Ri and string of li is suspended as shown in Fig. 1. One end connects with a mass mi and the other with another frictionless pulley of mass m with radius R2 and string /2, joining two masses ms and ms at the two ends. (a) Find the equations of holonomic constraints. (b) Find the equations of motion for masses mi, m2, m3, and m4. (c) Find the solutions for the undetermined...
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