14.2.21. Solution to the kinematics problem: Crank 1 with length OA = 0.2 m rotates with angular velocity ? = 20 rad/s. It is necessary to find the modulus of momentum of connecting rod 2 with mass m = 6 kg at the time when the angle ? = 90°. Connecting rod 2 is a homogeneous rod.
Solution: First you need to find the speed of the end of the connecting rod. To do this, we use the formula for linear speed:
v = r * ?
where v is the connecting rod end speed, r is the crank radius, ? - angular velocity.
Substitute the values:
v = 0.2 m * 20 rad/s = 4 m/s
Next, using the definition of momentum, we find the module of the momentum of connecting rod 2:
p = m * v
where p is the momentum, m is the mass of the connecting rod, v is the speed of the end of the connecting rod.
Substitute the values:
p = 6 kg * 4 m/s = 24 kg * m/s
Thus, the modulus of the momentum of connecting rod 2 at the time when the angle is ? = 90°, equal to 24 kg * m/s.
This digital product is a solution to a kinematics problem from the collection of problems by Kepe O.?. Problem 14.2.21 considers the motion of a connecting rod under the action of a crank rotating at an angular velocity of 20 rad/s, and proposes to determine the modulus of momentum of the connecting rod at the time when the angle is 90°. Connecting rod 2 in the problem is considered to be a homogeneous rod with a mass of 6 kg.
The solution to the problem is presented in the form of an HTML document with a beautiful design. It details the solution process and provides numerical values for all variables needed to calculate the connecting rod's modulus of momentum. This digital product can be used by students and teachers as educational material or for self-study of kinematics.
By purchasing the solution to problem 14.2.21 from the collection of Kepe O.?., you receive a convenient and beautifully designed digital product that will help you better understand kinematics and learn how to solve similar problems.
This digital product is a solution to problem 14.2.21 from the collection of problems by Kepe O.?. The problem considers the motion of a connecting rod under the action of a crank rotating at an angular velocity of 20 rad/s, and proposes to determine the modulus of momentum of the connecting rod at the moment when the angle is 90°. Connecting rod 2 in the problem is considered to be a homogeneous rod with a mass of 6 kg.
The solution to the problem is presented in the form of an HTML document with a beautiful design. It details the solution process and provides numerical values for all variables needed to calculate the connecting rod's modulus of momentum. To find the modulus of momentum, you first need to find the speed of the end of the connecting rod using the formula for linear speed. Then, using the definition of momentum, we find the modulus of momentum of the connecting rod.
This digital product can be used by students and teachers as educational material or for self-study of kinematics. By purchasing the solution to problem 14.2.21 from the collection of Kepe O.?., you receive a convenient and beautifully designed digital product that will help you better understand kinematics and learn how to solve similar problems. Answer to problem 24.
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The product in this case is a collection of problems by Kepe O.?. and a specific task from it is 14.2.21.
The problem considers a crank 0.2 m long, which rotates at an angular velocity of 20 rad/s. It is required to determine the modulus of momentum of a connecting rod weighing 6 kg at the moment when the angle between the crank and the connecting rod is 90 degrees.
Connecting rod 2 is assumed to be a homogeneous rod. The solution to this problem requires the application of the law of conservation of momentum. After determining the modulus of momentum of the connecting rod, you can get the answer, which is equal to 24.
Thus, problem 14.2.21 from the collection of Kepe O.?. is a task to apply the law of conservation of momentum and to determine the modulus of momentum at a specific moment in time.
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