Question 1: a) I have five masses. The objects are connected by a mass-less rod. The...
Question 1:
a)
I have five masses. The objects are connected by a mass-less rod. The first and second object are separated by a distance of 0.45m. You can find other information in the picture above. Find the center of mass of the whole system.Find the rotational inertia of the center of mass of the system.
b) The space shuttles orbit at an altitude of 3.9 x 10^5 m. What are their orbital velocities?
Homework Answers
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Question 1:
a)
I have five masses. The objects are connected by a mass-less
rod. The...
Two small objects each of mass m = 0.2 kg are connected by a lightweight rod...
Two small objects each of mass m = 0.2 kg are connected by a lightweight rod of length d = 1.5 m (see the figure). At a particular instant they have velocities whose magnitudes are v_1 = 36 m/s and v_2 = 50 m/s and are subjected to external forces whose magnitudes are F_1 = 63 N and F_2 = 26 N. The distance h = 0.4 m, and the distance w = 0.6 m. The system is moving in...
QUESTION 1 A dumbell consists of two identical masses of mass M attached to a either...
QUESTION 1 A dumbell consists of two identical masses of mass M attached to a either end of a rod of length 2X and of negligible mass. If the dumbell is rotated about an axis perpendicular to the rod and passing through the middle of the rod, as shown in the diagram. What is the rotational inertia of the dumbell? Axis. -*-X ←-ㄧㄧㄨ 2Mx2 2M2x MX2 M2x QUESTION 2 Two identical uniform thin rods of length 0.542 m and mass...
Need help with the following questions 1. Two point masses a mass a-6 Kg mass and...
Need help with the following questions
1. Two point masses a mass a-6 Kg mass and mass b- 7 kg mass are located L- 5 meters apart. Calculate the moment of inertia about Axis b. (image not to scale) Axis a Axis b mg nNg 2. Two point masses a 6 Kg mass and an 18 kg mass are connected by a mass less rod 6 meters long. Calculate the distance of the center of mass from the 18 kg...
Ball a, of mass , is connected to ball b, of mass , by a massless rod of length . The two vertical dashed lines in...
Ball a, of mass ma, is
connected to ball b, of mass mb, by a
massless rod of length L. The two
vertical dashed lines in the figure, one througheach ball,
represent two different axes of rotation, axes a and b. These axes are parallel to each other and perpendicular
to the rod. The moment of inertia of the two-masssystem about axis a is Ia, and the
moment of inertia of the system about axis b is Ib. It is
observed that the ratio...
Two masses are connected to the ends of a homogeneous rod
Two masses (m1 = 4.35 kg, r1 = 12.0 cm, m2 =9.40 kg, and r2 = 20 cm) are connected to the ends of a homogeneous rod (L = 82.5 cm, m = 11.3 kg) as shown below. Find the x-coordinate for the center of mass of the three-object system in centimeters.x-coordinatec.o.m. =
Two objects with masses of 2.45 kg and 4.15 kg are connected by a light string...
Two objects with masses of 2.45 kg and 4.15 kg are connected by a light string that passes over a light frictionless pulley to form an Atwood machine, as in Figure 5.14a. Figure 5.14a (a) Determine the tension in the string. Incorrect: Your answer is incorrect. N (b) Determine the acceleration of each object. m/s2 upwards (2.45 kg mass) m/s2 downwards (4.15 kg mass) (c) Determine the distance each object will move in the first second of motion if they...
Problem 1 Two identical pucks, each of inertia m, are connected to a rod of length...
Problem 1 Two identical pucks, each of inertia m, are connected to a rod of length 2r and negligible inertia that is pivoted about its center (that is, there is some sort of pin though its center, around which it can rotate without friction). A third puck of inertia m/2 strikes one of the connected pucks perpendicular to the rod with a speed vi. Assume the collision is elastic. (a) Draw a diagram of the situation, clearly labeling the direction...
Three masses are connected by rigid massless rods, as shown. The 200-g mass (B) is located...
Three masses are connected by rigid massless rods, as shown. The 200-g mass (B) is located at the origin (0, 0). (a) Find the x- and y-coordinates of the center of mass. (b) Find the moment of inertia of this system of three connected masses when rotated about the r-axis that passes through mass B? (c) If this system is rotated about the r-axis, from rest to an angular speed of 6 rad/s in time t = 3 s, what...
Two masses are connected by a massless rope. The mass of object 1 is 5.5 kg,...
Two masses are connected by a massless rope. The mass of object 1 is 5.5 kg, and it rests on a surface with a 1.7 coefficient for static friction (us) and a .90 coefficient for kinetic friction (uk). Object 2 has a mass of 8.3 kg and hangs over the edge of the surface by a frictionless, massless pulley. The two objects begin at rest when object 2 is released to hang freely. A.) Draw a free body diagram for...
4. Two objects of masses m/ and m2 are connected by a massless spring as shown...
4. Two objects of masses m/ and m2 are connected by a massless spring as shown in the figure below. The spring has a natural length of L and a stiffness of k. Owo a. If x is the extension of the spring by the horizontal motion of the masses, use Newton's second law to determine the equations of motion for each object. b. Combine these equations to show that the system oscillates at a frequency of - mįm2 w2...
Two small objects each of mass m = 0.2 kg are connected by a lightweight rod of length d = 1.5 m (see the figure). At a particular instant they have velocities whose magnitudes are v_1 = 36 m/s and v_2 = 50 m/s and are subjected to external forces whose magnitudes are F_1 = 63 N and F_2 = 26 N. The distance h = 0.4 m, and the distance w = 0.6 m. The system is moving in...
QUESTION 1 A dumbell consists of two identical masses of mass M attached to a either end of a rod of length 2X and of negligible mass. If the dumbell is rotated about an axis perpendicular to the rod and passing through the middle of the rod, as shown in the diagram. What is the rotational inertia of the dumbell? Axis. -*-X ←-ㄧㄧㄨ 2Mx2 2M2x MX2 M2x QUESTION 2 Two identical uniform thin rods of length 0.542 m and mass...
Need help with the following questions
1. Two point masses a mass a-6 Kg mass and mass b- 7 kg mass are located L- 5 meters apart. Calculate the moment of inertia about Axis b. (image not to scale) Axis a Axis b mg nNg 2. Two point masses a 6 Kg mass and an 18 kg mass are connected by a mass less rod 6 meters long. Calculate the distance of the center of mass from the 18 kg...
Ball a, of mass ma, is
connected to ball b, of mass mb, by a
massless rod of length L. The two
vertical dashed lines in the figure, one througheach ball,
represent two different axes of rotation, axes a and b. These axes are parallel to each other and perpendicular
to the rod. The moment of inertia of the two-masssystem about axis a is Ia, and the
moment of inertia of the system about axis b is Ib. It is
observed that the ratio...
Two masses (m1 = 4.35 kg, r1 = 12.0 cm, m2 =9.40 kg, and r2 = 20 cm) are connected to the ends of a homogeneous rod (L = 82.5 cm, m = 11.3 kg) as shown below. Find the x-coordinate for the center of mass of the three-object system in centimeters.x-coordinatec.o.m. =
Problem 1 Two identical pucks, each of inertia m, are connected to a rod of length 2r and negligible inertia that is pivoted about its center (that is, there is some sort of pin though its center, around which it can rotate without friction). A third puck of inertia m/2 strikes one of the connected pucks perpendicular to the rod with a speed vi. Assume the collision is elastic. (a) Draw a diagram of the situation, clearly labeling the direction...
4. Two objects of masses m/ and m2 are connected by a massless spring as shown in the figure below. The spring has a natural length of L and a stiffness of k. Owo a. If x is the extension of the spring by the horizontal motion of the masses, use Newton's second law to determine the equations of motion for each object. b. Combine these equations to show that the system oscillates at a frequency of - mįm2 w2...
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