Homework Answers
Ignoring friction, the size of the bob (ball) is irrelevant; the
length matters though, since the period of a pendulum varies
as
P=2 pi sqrt[L/g] where L is the length of the pendulum
therefore, the longer the pendulum, the longer the period
A has a pendulum that is twice as long, therefore its period will
be sqrt(2) or 1.414 times longer than pendulum B
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The two pendulums in the figure below each consist of a uniform solid ball of mass...
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...
Find the periods of two physical pendulums consisting of identical thin rigid rods of length L...
Find the periods of two physical pendulums consisting of
identical thin rigid rods of length L = 138 cm. The first rod is
pivoted about it's upper end, while the second rod is pivoted at a
small hole drilled through the rod at a distance d = 103 cm from
it's lower end, see the picture below. Note that the mass
of the rod is not important — it cancels out. If it helps, take m =
1 kg.
The...
1a. 1b. 1c. A uniform solid ball rolls smoothly along a floor, then up a ramp...
1a.
1b.
1c.
A uniform solid ball rolls smoothly along a floor, then up a ramp inclined at 24.1. It momentarily stops when it has rolled 2.40 m along the ramp. What was its initial speed? NumberT4.38 Unitsm's A certain gyroscope consists of a uniform disk with a 33.0 cm radius mounted at the center of an axle that is 11.0 cm long and of negligible mass. The axle is horizontal and supported at one end. If the disk is...
Figure 3 Uniform disk Uniform rod 3) Figure 3 illustrates a physical pendulum comprising a uniform disk having mass M and radius R and a rod having the length R and mass M. The disk is pivotally m...
Figure 3 Uniform disk Uniform rod 3) Figure 3 illustrates a physical pendulum comprising a uniform disk having mass M and radius R and a rod having the length R and mass M. The disk is pivotally mounted with a friction-less horizontal axis of rotation that extends through the center of mass of the disk. The rod is fixedly attached to the edge of the disk and it extends vertically downward when the pendulum is in a state of static...
A2. Two identical simple pendulums are connected via a spring as it is shown in Figure A2. The length of the pendulum strut L-0.5m and the mass of attached bob m-2kg, the stiffness coefficient of the...
A2. Two identical simple pendulums are connected via a spring as it is shown in Figure A2. The length of the pendulum strut L-0.5m and the mass of attached bob m-2kg, the stiffness coefficient of the connecting spring is k-80Ns/m. 02 Figure A2. a) Using the free-body diagram method derive the following governing equations for the coupled pendulum system which are given below in matrix form b) Using the characteristic equation method or transformation to principal coordinates find out two...
The two pendulums shown have 14 kg balls supported by rigid mass-less rods. The pendulums rotate...
The two pendulums shown have 14 kg balls supported by rigid mass-less rods. The pendulums rotate on frictionless pivots in the same vertical plane In a circular path of radius 2 meters and collide. If each is at rest and oriented at theta = 38 degrees then released simultaneously, determine the Impulse of the collision in kg-m/s if the coefficient of restitution - 0.6. DO NOT ENTER SIGNS OR UNITS!!
M Two uniform, solid spheres (one has a mass M and a radius R and the...
M Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius R. = 2R) are connected by a thin, uniform rod of length L = 4R and mass M. Note that the figure may not be to scale. Find an expression for the moment of inertia I about the axis through the center of the rod. Write the expression in terms of M, R, and a numerical...
M Two uniform, solid spheres (one has a mass M and a radius R and the...
M Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius R = 2R) are connected by a thin, uniform rod of length L = 4 R and mass M. Note that the figure may not be to scale. Find an expression for the moment of inertial about the axis through the center of the rod. Write the expression in terms of M, R, and a numerical...
Two small metallic spheres, each of mass m = 0.214 g, are suspended as pendulums by...
Two small metallic spheres, each of mass m = 0.214 g, are suspended as pendulums by light strings of length L as shown in the figure below. The spheres are given the same electric charge of 7.3 nC, and they come to equilibrium when each string is at an angle of ? = 4.80° with the vertical.
M Two uniform, solid spheres (one has a mass M and a radius R and the...
M Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius Rp = 2R) are connected by a thin, uniform rod of length L = 4R and mass M. Note that the figure may not be to scale. Find an expression for the moment of inertia / about the axis through the center of the rod. Write the expression in terms of M. R. and a numerical...
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...
Find the periods of two physical pendulums consisting of
identical thin rigid rods of length L = 138 cm. The first rod is
pivoted about it's upper end, while the second rod is pivoted at a
small hole drilled through the rod at a distance d = 103 cm from
it's lower end, see the picture below. Note that the mass
of the rod is not important — it cancels out. If it helps, take m =
1 kg.
The...
1a.
1b.
1c.
A uniform solid ball rolls smoothly along a floor, then up a ramp inclined at 24.1. It momentarily stops when it has rolled 2.40 m along the ramp. What was its initial speed? NumberT4.38 Unitsm's A certain gyroscope consists of a uniform disk with a 33.0 cm radius mounted at the center of an axle that is 11.0 cm long and of negligible mass. The axle is horizontal and supported at one end. If the disk is...
Figure 3 Uniform disk Uniform rod 3) Figure 3 illustrates a physical pendulum comprising a uniform disk having mass M and radius R and a rod having the length R and mass M. The disk is pivotally mounted with a friction-less horizontal axis of rotation that extends through the center of mass of the disk. The rod is fixedly attached to the edge of the disk and it extends vertically downward when the pendulum is in a state of static...
A2. Two identical simple pendulums are connected via a spring as it is shown in Figure A2. The length of the pendulum strut L-0.5m and the mass of attached bob m-2kg, the stiffness coefficient of the connecting spring is k-80Ns/m. 02 Figure A2. a) Using the free-body diagram method derive the following governing equations for the coupled pendulum system which are given below in matrix form b) Using the characteristic equation method or transformation to principal coordinates find out two...
The two pendulums shown have 14 kg balls supported by rigid mass-less rods. The pendulums rotate on frictionless pivots in the same vertical plane In a circular path of radius 2 meters and collide. If each is at rest and oriented at theta = 38 degrees then released simultaneously, determine the Impulse of the collision in kg-m/s if the coefficient of restitution - 0.6. DO NOT ENTER SIGNS OR UNITS!!
M Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius R. = 2R) are connected by a thin, uniform rod of length L = 4R and mass M. Note that the figure may not be to scale. Find an expression for the moment of inertia I about the axis through the center of the rod. Write the expression in terms of M, R, and a numerical...
M Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius R = 2R) are connected by a thin, uniform rod of length L = 4 R and mass M. Note that the figure may not be to scale. Find an expression for the moment of inertial about the axis through the center of the rod. Write the expression in terms of M, R, and a numerical...
M Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius Rp = 2R) are connected by a thin, uniform rod of length L = 4R and mass M. Note that the figure may not be to scale. Find an expression for the moment of inertia / about the axis through the center of the rod. Write the expression in terms of M. R. and a numerical...
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