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Problem 2. The ball with mass m is attached to two elastic cords each of length...
3. A ball of mass m is attached to a vertical pole with a length of...
3. A ball of mass m is attached to a vertical pole with a length of string L and spun with a constant speed v in a horizontal circle. a. Draw a free body diagram of the ball below: (5) ( b. Write expressions for Newton's 2nd Law in the x- and y-directions. (20) Assume that m = 3.50 kg, and the speed of the ball is 6.50 m/s. c. Find the magnitude of the tension in the string. (5)...
b and c (9%) Problem 2: Two pendula are shown in the figure. Each consists of...
b and c
(9%) Problem 2: Two pendula are shown in the figure. Each consists of a solid ball with uniform density and has a mass M. They are each suspended from the ceiling with massless rod as shown in the figure. The ball on the left pendulum is very small. The ball of the right pendulum has radius 1/2 L. Randomired Variables L=/./m Otheexperta.com 33% Part() How does the period of the left pendulum change if the mass is...
A pendulum has a length l = 0.4m and mass of 0.5 kg. a) Find the...
A pendulum has a length l = 0.4m and mass of 0.5 kg. a) Find the angular frequency of vibration, w, for small displacements. b) A friction term is now added to part A. The force of friction = -b(dx/dt) where b = 3 Ns/m. Find the new w. c) If the mass is displaced an initial distance of 0.02 m at t = 0 and released from rest, write an expression for x(t).
A conical pendulum is formed by attaching a ball of mass m to a string of length L, then allowing the ball to move in a...
A conical pendulum is formed by attaching a ball of
mass m to a string of length L, then allowing the
ball to move in a horizontal circle of radius r. The
following figure(Figure
1) shows that the string traces out the surface of a cone,
hence the name.Part A: Find an expression for the tension T in the
string.Express your answer in terms of the variables L,m,r and appropriate
constants.Part B: Find an expression for the ball's angular speed?.Express your answer...
A uniform rod with a mass m and length L has one end attached to a...
A uniform rod with a mass m and length L has one end attached to a pivot. The rod swings around on a frictionless horizontal table with angular speed wo. A ball with mass m (so same mass as the rod) is placed on the table a distance d from the pivot. The ball is made of clay so when the rod strikes it, the ball sticks to the rod (i.e., inelastic collision). If the final (post-collision) angular velocity of...
1. A thin, uniform bar of length L and mass M is supported by a frictionless...
1. A thin, uniform bar of length L and mass M is supported by a frictionless horizontal surface. A ball of mass m travels to the right with speed v and strikes the bar. (top view) a. Assume the ball strikes the bar a distance d from the center of the bar and sticks to the bar. Find the velocity of the center of mass of the bar-ball system and them angular speed of the system. b. Assume the ball...
9) A ball of mass m is attached to the ceiling via a string of length...
9) A ball of mass m is attached to the ceiling via a string of length L. The ball is given a push to set it in motion. The ball then travels in a horizontal circle, such that the string makes and angle 0 with the vertical. It is observed that it takes time T for the ball to make one complete revolution. How can this experiment be used to measure the magnitude of the gravitational acceleration g. problem 9...
Question 6 Ci m, I k2 Figure Q6 A unform bar of mass m and length...
Question 6 Ci m, I k2 Figure Q6 A unform bar of mass m and length is pivoted at C as indicated in Figure Q6 The bar carries a mass M at D and is supported by springs kt, k2 and dampers c1, r3 as shown Let , 12, 13 be the displacements at the positions shown when the system is given a small angular displacement θ from the equilibrium horizontal position Given that C and D are distances 4...
1. Springs and a mass are attached to a rigid bar, as shown in Fig 1....
1. Springs and a mass are attached to a rigid bar, as shown in Fig 1. The hinges are free to rotate. 0 denotes the rotational angle of the rod, and 0-0 when all springs are not stretched. The mass of the bar and the size of the mass are negligible. Neglect gravitational force, and assume 0 is very small. 1) Derive the equation of motion for this system with Lagrange's method. (20pt) 2) Find the natural frequency of the...
1) Consider a block of mass M connected through the massless rigid rod to the massless...
1) Consider a block of mass M connected through the massless rigid rod to the massless circular track of radius a on a frictionless horizontal table (see the Figure). A particle of mass m is constrained to move on the vertical circular track. The distance between the center of the circular track and the center of mass of the block of mass M is constant and equal to L. Assume that there is no friction between the track and the...
3. A ball of mass m is attached to a vertical pole with a length of string L and spun with a constant speed v in a horizontal circle. a. Draw a free body diagram of the ball below: (5) ( b. Write expressions for Newton's 2nd Law in the x- and y-directions. (20) Assume that m = 3.50 kg, and the speed of the ball is 6.50 m/s. c. Find the magnitude of the tension in the string. (5)...
b and c
(9%) Problem 2: Two pendula are shown in the figure. Each consists of a solid ball with uniform density and has a mass M. They are each suspended from the ceiling with massless rod as shown in the figure. The ball on the left pendulum is very small. The ball of the right pendulum has radius 1/2 L. Randomired Variables L=/./m Otheexperta.com 33% Part() How does the period of the left pendulum change if the mass is...
A conical pendulum is formed by attaching a ball of
mass m to a string of length L, then allowing the
ball to move in a horizontal circle of radius r. The
following figure(Figure
1) shows that the string traces out the surface of a cone,
hence the name.Part A: Find an expression for the tension T in the
string.Express your answer in terms of the variables L,m,r and appropriate
constants.Part B: Find an expression for the ball's angular speed?.Express your answer...
A uniform rod with a mass m and length L has one end attached to a pivot. The rod swings around on a frictionless horizontal table with angular speed wo. A ball with mass m (so same mass as the rod) is placed on the table a distance d from the pivot. The ball is made of clay so when the rod strikes it, the ball sticks to the rod (i.e., inelastic collision). If the final (post-collision) angular velocity of...
1. A thin, uniform bar of length L and mass M is supported by a frictionless horizontal surface. A ball of mass m travels to the right with speed v and strikes the bar. (top view) a. Assume the ball strikes the bar a distance d from the center of the bar and sticks to the bar. Find the velocity of the center of mass of the bar-ball system and them angular speed of the system. b. Assume the ball...
9) A ball of mass m is attached to the ceiling via a string of length L. The ball is given a push to set it in motion. The ball then travels in a horizontal circle, such that the string makes and angle 0 with the vertical. It is observed that it takes time T for the ball to make one complete revolution. How can this experiment be used to measure the magnitude of the gravitational acceleration g. problem 9...
Question 6 Ci m, I k2 Figure Q6 A unform bar of mass m and length is pivoted at C as indicated in Figure Q6 The bar carries a mass M at D and is supported by springs kt, k2 and dampers c1, r3 as shown Let , 12, 13 be the displacements at the positions shown when the system is given a small angular displacement θ from the equilibrium horizontal position Given that C and D are distances 4...
1. Springs and a mass are attached to a rigid bar, as shown in Fig 1. The hinges are free to rotate. 0 denotes the rotational angle of the rod, and 0-0 when all springs are not stretched. The mass of the bar and the size of the mass are negligible. Neglect gravitational force, and assume 0 is very small. 1) Derive the equation of motion for this system with Lagrange's method. (20pt) 2) Find the natural frequency of the...
1) Consider a block of mass M connected through the massless rigid rod to the massless circular track of radius a on a frictionless horizontal table (see the Figure). A particle of mass m is constrained to move on the vertical circular track. The distance between the center of the circular track and the center of mass of the block of mass M is constant and equal to L. Assume that there is no friction between the track and the...
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