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17.2.3 Force on a stick in space. 2-D. No gravity. A uniform thin stick with length...
Problem 3. (24 points) A uniform rod of mass M and length d is free to...
Problem 3. (24 points) A uniform rod of mass M and length d is free to pivot about one end. The moment of inertia of the rod about the pivot is I = Md2/3, and the rod's center of mass is at its midpoint. The rod is released from rest at angle above the horizontal, then rotates downward under the influence of gravity. d x e When the rod reaches angle below the horizontal, determine (a) (4 points) the rotational...
please write clearly and and label ever answer All of the questions on this exam concern a space station, consisting of a long thin uniform rod of mass B. 니 x 106 kg and length C. D 3 meters, w...
please write clearly and and label ever answer
All of the questions on this exam concern a space station, consisting of a long thin uniform rod of mass B. 니 x 106 kg and length C. D 3 meters, with two identical uniform hollow spheres, each of mass D. 2+2 x 10kg and radius Emeters, attached at the ends of the rod, as shown below. Note that none of the diagrams shown is drawn to scale! axis (a) Suppose that...
Problem 2 A cord is wrapped around a wheel which is initially at rest as shown in Fig. 13-7a. If ...
Problem 2 A cord is wrapped around a wheel which is initially at rest as shown in Fig. 13-7a. If a force F is applied to the cord and gives it an acceleration ofa 4rf/sec2, where t is in seconds, determine (a) the angular velocity of the wheel t sec, (b) the magnitude of the velocity and acceler- ation of point AatI sec, and (c) the number of turns the wheel makes during the first second.
Problem 2 A cord...
5. A half section of a uniform thin pipe of mass m 2 kg is at...
5. A half section of a uniform thin pipe of mass m 2 kg is at rest when a force P 40 N is applied at point A as shown. The static and kinetic friction coefficients are μ': 0.15 and μ"01, respectively. Determine (a) the angular acceleration, and (b) the magnitude and direction of the friction force between the thin pipe and the horizontal plane. The distance between the geometric center O and mass center G of the thin pipe...
Consider a stick of length I, mass m, and uniform mass density. The stick is pivoted...
Consider a stick of length I, mass m, and uniform mass density. The stick is pivoted at its top end and swings around the vertical axis. Assume that conditions have been set up so that the stick always makes an angle with the vertical. a) Figure out what the principal axes are. You do not necessarily need to diagonalize the I 3. matrix. It will be obvious to find them. Calculate the diagonal components of the moment of inertia tensor....
5. A half section of a uniform thin pipe of mass m 2 kg is at...
5. A half section of a uniform thin pipe of mass m 2 kg is at rest when a force P 40 N is applied at point A as shown. The static and kinetic friction coefficients are μ': 0.15 and μ"01, respectively. Determine (a) the angular acceleration, and (b) the magnitude and direction of the friction force between the thin pipe and the horizontal plane. The distance between the geometric center O and mass center G of the thin pipe...
A uniform, thin bar has a mass of 2 kg and a length of 0.50m. Initially,...
A uniform, thin bar has a mass of 2 kg and a length of 0.50m. Initially, the bar is balanced horizontally about a pin through its center of mass and orthogonal to its length. A small mass of 0.75 kg is placed on the left end and the system begins to spin. Find: a) the initial angular acceleration of the system b) the maximum angular velocity of the system c) the torque on the system when it has reached the...
An object is formed by attaching a uniform, thin rod with a mass of mr =...
An object is formed by attaching a uniform, thin rod with a mass of mr = 7.31 kg and length L = 5.68 m to a uniform sphere with mass ms = 36.55 kg and radius R = 1.42 m. Note ms = 5mr and L = 4R. *What is the moment of inertia of the object about an axis at the left end of the rod? *If the object is fixed at the left end of the rod, what...
A thin uniform rod (length = 1.77 m, mass = 3.13 kg) is pivoted about a...
A thin uniform rod (length = 1.77 m, mass = 3.13 kg) is pivoted about a horizontal frictionless pin through one of its ends. The moment of inertia of the rod through this axis is (1/3)mL2. The rod is released when it is 58.5° below the horizontal. What is the angular acceleration of the rod at the instant it is released? (in rad/s^2) A: 2.712 B: 3.173 C: 3.713 D: 4.344 E: 5.082 F: 5.946 G: 6.957 H: 8.140
1. The linkage shown is made of two 1.0-meter-long rods. Each rod has a mass of 5 kg. At the instant shown each rod has an angular velocity of -10 rad/s. Gravity acts toward the bottom of the...
1. The linkage shown is made of two 1.0-meter-long rods. Each rod has a mass of 5 kg. At the instant shown each rod has an angular velocity of -10 rad/s. Gravity acts toward the bottom of the page. What's the acceleration of the point where the 500 N force is applied? 500 N A disc of radius 0.3 m spins at a constant rate of 50 rad/s about its axis (directed toward the ottom of the page), while the...
Problem 3. (24 points) A uniform rod of mass M and length d is free to pivot about one end. The moment of inertia of the rod about the pivot is I = Md2/3, and the rod's center of mass is at its midpoint. The rod is released from rest at angle above the horizontal, then rotates downward under the influence of gravity. d x e When the rod reaches angle below the horizontal, determine (a) (4 points) the rotational...
please write clearly and and label ever answer
All of the questions on this exam concern a space station, consisting of a long thin uniform rod of mass B. 니 x 106 kg and length C. D 3 meters, with two identical uniform hollow spheres, each of mass D. 2+2 x 10kg and radius Emeters, attached at the ends of the rod, as shown below. Note that none of the diagrams shown is drawn to scale! axis (a) Suppose that...
Problem 2 A cord is wrapped around a wheel which is initially at rest as shown in Fig. 13-7a. If a force F is applied to the cord and gives it an acceleration ofa 4rf/sec2, where t is in seconds, determine (a) the angular velocity of the wheel t sec, (b) the magnitude of the velocity and acceler- ation of point AatI sec, and (c) the number of turns the wheel makes during the first second.
Problem 2 A cord...
5. A half section of a uniform thin pipe of mass m 2 kg is at rest when a force P 40 N is applied at point A as shown. The static and kinetic friction coefficients are μ': 0.15 and μ"01, respectively. Determine (a) the angular acceleration, and (b) the magnitude and direction of the friction force between the thin pipe and the horizontal plane. The distance between the geometric center O and mass center G of the thin pipe...
Consider a stick of length I, mass m, and uniform mass density. The stick is pivoted at its top end and swings around the vertical axis. Assume that conditions have been set up so that the stick always makes an angle with the vertical. a) Figure out what the principal axes are. You do not necessarily need to diagonalize the I 3. matrix. It will be obvious to find them. Calculate the diagonal components of the moment of inertia tensor....
5. A half section of a uniform thin pipe of mass m 2 kg is at rest when a force P 40 N is applied at point A as shown. The static and kinetic friction coefficients are μ': 0.15 and μ"01, respectively. Determine (a) the angular acceleration, and (b) the magnitude and direction of the friction force between the thin pipe and the horizontal plane. The distance between the geometric center O and mass center G of the thin pipe...
1. The linkage shown is made of two 1.0-meter-long rods. Each rod has a mass of 5 kg. At the instant shown each rod has an angular velocity of -10 rad/s. Gravity acts toward the bottom of the page. What's the acceleration of the point where the 500 N force is applied? 500 N A disc of radius 0.3 m spins at a constant rate of 50 rad/s about its axis (directed toward the ottom of the page), while the...
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