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Problem 3: (25 Points) A spring and pulley system is designed as shown. The diagranm represents...
As shown, a frictionless pulley hangs from a system of springs and a cable. The pulley...
As shown, a frictionless pulley hangs from a system of
springs and a cable. The pulley is equidistant between the two
supports attaching the springs to the ceiling. The distance between
the supports is d=1.50 m . The cable cannot stretch and its length
between the two springs is 1.8 m.
(figure 1)
(FIgure 2)
A)As shown, a mass is hung from the pulley. This mass causes a
tensile force of 17.0 N in the cable and the pulley to...
Two masses are connected via a spring and a string over a massless pulley as shown...
Two masses are connected via a spring and a string over a massless pulley as shown below. The first mass has a mass, m1 = 4 kg, and the second, m2 = 3 kg. The inclined plane sits at an angle, θ = 30°, with a coefficient of static friction with the first mass, μs = 0.3. The spring has a spring constant, k = 4 N/m. How far past its natural length is the spring extended to keep the...
2.50 Two slender links, AC and BC, extend from a wall and support a pulley at...
2.50
Two slender links, AC and BC, extend from a wall and support a pulley at C. A cable, tied at D, passes over the small pulley at C and experience an 80-lb force at its free end E. If the pulley is frictionless and of negligible determine the forces developed in members AC and BC. An inextensible (cannot stretch) cable AC and spring CB are originally horizontal. A 100-N weight is attached to point C, and the system is...
5. (20 points) The pulley system shown is initially at rest, with the spring (k-1.5 N/m)...
5. (20 points) The pulley system shown is initially at rest, with the spring (k-1.5 N/m) Pulley Mass M Rad. Gyr. k uncompressed. Pulley data: mass M 10 kg, radius R-0.7m, radius of gyration k- 0.5m Determine the velocity of mass B 4 kg after B has traveled 0.5 meters. 9 Spring is initially 1 Datum. undompressed Mass pring const. 2
i will give a rate position shown by the cable AB and the spring BC. "...
i
will give a rate
position shown by the cable AB and the spring BC. " Problem 3: The 100-kg crate is held in equilibrium in the position shown by the car a. (5 points) Sketch the FBD of B b. (16 points) Find the tensile forces in the cable and the spring. C. (4 points) If the spring constant k of spring BC is 1,000 N/m, find the spring. BC is 1,000 N/m, find the unstretched length of the...
Problem 2 The system shown is in equilibrium. The mass m = 15 kg for all...
Problem 2 The system shown is in equilibrium. The mass m = 15 kg for all questions. For all questions, assume no mechanical interference of the spring or cables with the supports, and neglect any friction and pulley mas. What should the mass of the cart on the incline be if the stretch in the spring is 250 mm? The spring stiffness is k = 125 N/m. If the mass of the cart on the incline is 15 kg, what...
PROBLEM 2 (3 points): The unstretched (undeformed) length of spring AB is 3m. If the block...
PROBLEM 2 (3 points): The unstretched (undeformed) length of spring AB is 3m. If the block is held in the equilibrium position shown, determine the weight of the block ut D. 3m ke20 N/m www. km - 30 N/m
(6 Points) - Problem 2: A 25 lb double pulley shown is at rest and in...
(6 Points) - Problem 2: A 25 lb double pulley shown is at rest and in equilibrium when a constant 3.5 lb-ft couple M is applied. Neglecting effect of friction and knowing that the radius of gyration of the double pulley is 6 in., determine (a) the angular acceleration of the double pulley, (b) the tension in each rope. 8 in. M 10 lb 5 lb
NAME: our mersse Problem 1. (25%) The system shown below consists of a rotary two-disk pulley, a horizontally translating body with a spring and damper attached to it, and two massless rods (the...
NAME: our mersse Problem 1. (25%) The system shown below consists of a rotary two-disk pulley, a horizontally translating body with a spring and damper attached to it, and two massless rods (the vertical one has a spring connected to it). The pulley is made of two concentric disks that form a solid piece. translatory body undergo small motions. (a) (20%) Define the state space model of the system with θ as the output. Assume that the pulley and the...
Consider a mass-spring system shown below with a hard spring. That is, it requires more force...
Consider a mass-spring system shown below with a hard spring. That is, it requires more force to deform the same amount as the spring stretches/compresses. elle m The equation of motion is given by mä+kx3 = mg, where x is the stretch of the spring from its undeformed length, m is the mass of the block, k is the spring constant, and g is the gravitational acceleration. After the equation of motion is linearized about its equilibrium position, it can...
As shown, a frictionless pulley hangs from a system of
springs and a cable. The pulley is equidistant between the two
supports attaching the springs to the ceiling. The distance between
the supports is d=1.50 m . The cable cannot stretch and its length
between the two springs is 1.8 m.
(figure 1)
(FIgure 2)
A)As shown, a mass is hung from the pulley. This mass causes a
tensile force of 17.0 N in the cable and the pulley to...
Two masses are connected via a spring and a string over a massless pulley as shown below. The first mass has a mass, m1 = 4 kg, and the second, m2 = 3 kg. The inclined plane sits at an angle, θ = 30°, with a coefficient of static friction with the first mass, μs = 0.3. The spring has a spring constant, k = 4 N/m. How far past its natural length is the spring extended to keep the...
2.50
Two slender links, AC and BC, extend from a wall and support a pulley at C. A cable, tied at D, passes over the small pulley at C and experience an 80-lb force at its free end E. If the pulley is frictionless and of negligible determine the forces developed in members AC and BC. An inextensible (cannot stretch) cable AC and spring CB are originally horizontal. A 100-N weight is attached to point C, and the system is...
5. (20 points) The pulley system shown is initially at rest, with the spring (k-1.5 N/m) Pulley Mass M Rad. Gyr. k uncompressed. Pulley data: mass M 10 kg, radius R-0.7m, radius of gyration k- 0.5m Determine the velocity of mass B 4 kg after B has traveled 0.5 meters. 9 Spring is initially 1 Datum. undompressed Mass pring const. 2
i
will give a rate
position shown by the cable AB and the spring BC. " Problem 3: The 100-kg crate is held in equilibrium in the position shown by the car a. (5 points) Sketch the FBD of B b. (16 points) Find the tensile forces in the cable and the spring. C. (4 points) If the spring constant k of spring BC is 1,000 N/m, find the spring. BC is 1,000 N/m, find the unstretched length of the...
Problem 2 The system shown is in equilibrium. The mass m = 15 kg for all questions. For all questions, assume no mechanical interference of the spring or cables with the supports, and neglect any friction and pulley mas. What should the mass of the cart on the incline be if the stretch in the spring is 250 mm? The spring stiffness is k = 125 N/m. If the mass of the cart on the incline is 15 kg, what...
PROBLEM 2 (3 points): The unstretched (undeformed) length of spring AB is 3m. If the block is held in the equilibrium position shown, determine the weight of the block ut D. 3m ke20 N/m www. km - 30 N/m
(6 Points) - Problem 2: A 25 lb double pulley shown is at rest and in equilibrium when a constant 3.5 lb-ft couple M is applied. Neglecting effect of friction and knowing that the radius of gyration of the double pulley is 6 in., determine (a) the angular acceleration of the double pulley, (b) the tension in each rope. 8 in. M 10 lb 5 lb
NAME: our mersse Problem 1. (25%) The system shown below consists of a rotary two-disk pulley, a horizontally translating body with a spring and damper attached to it, and two massless rods (the vertical one has a spring connected to it). The pulley is made of two concentric disks that form a solid piece. translatory body undergo small motions. (a) (20%) Define the state space model of the system with θ as the output. Assume that the pulley and the...
Consider a mass-spring system shown below with a hard spring. That is, it requires more force to deform the same amount as the spring stretches/compresses. elle m The equation of motion is given by mä+kx3 = mg, where x is the stretch of the spring from its undeformed length, m is the mass of the block, k is the spring constant, and g is the gravitational acceleration. After the equation of motion is linearized about its equilibrium position, it can...
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