Problem 17.3.38 from the collection (workbook) of Kepe O.E. 1989

17.3.38. In the horizontal plane, carrier 1 with length l = 0.5 m and mass m1 = 1 kg, which can be considered as a homogeneous rod, rotates with a constant angular velocity ω = 10 rad/s. The moving gear 2 has a mass m2 = 3 kg. It is necessary to determine the reaction modulus of the hinge O.

To solve this problem, it is necessary to use Newton's laws of rotational motion. Since carrier 1 rotates at a constant angular velocity, its angular acceleration is zero, which means that no moment of force acts on it. Thus, the moment of force acting on the system is due only to the mass of the moving wheel 2.

Using Newton's second law for rotational motion, we can write:

ΣM = Iα,

where ΣM is the sum of the moments of forces acting on the system, I is the moment of inertia of the system relative to the axis of rotation and α is the angular acceleration.

Since the system rotates around a fixed axis, the moment of inertia of the system can be expressed as the sum of the moments of inertia of carrier 1 and wheel 2:

I = I1 + I2,

where I1 and I2 are the moments of inertia of carrier 1 and wheel 2, respectively.

The moment of inertia is directly proportional to the mass and the square of the distance from the axis of rotation to the center of mass of the body. For carrier 1, which can be considered as a homogeneous rod, the moment of inertia can be expressed as:

I1 = (1/12)ml^2,

where m is the mass of the rod, and l is its length.

For moving wheel 2, the moment of inertia can be expressed as:

I2 = (1/2)m2R^2,

where R is the radius of the wheel.

Taking into account these expressions and the fact that the angular acceleration is zero, we can write the equation for the hinge reaction modulus O:

О = mg - T,

where g is the acceleration of gravity, T is the tension of the thread connecting wheel 2 and carrier 1.

Thus, to solve the problem, it is necessary to determine the moment of inertia of the system, calculate the reaction modulus of the hinge O using the force equilibrium equation, and solve the resulting equation with respect to the thread tension T.

Problem 17.3.38 from the collection (workbook) of Kepe O.E. 1989

We present to your attention problem 17.3.38 from the collection (workbook) of Kepe O.E. 1989. This physics problem will help you understand how to apply Newton's laws of rotation and solve problems to determine the modulus of reaction of a hinge. The problem presents a carrier 1 with a length of l = 0.5 m, a mass of m1 = 1 kg, and a movable gear wheel 2 of mass m2 = 3 kg, which rotates in a horizontal plane with a constant angular velocity ω = 10 rad/s.

• A fun physics problem
• Helps understand the application of Newton's laws for rotational motion
• Helps you learn to solve problems to determine the modulus of reaction of a hinge
• The well-known collection (solution book) by Kepe O.E. 1989

199 rub.

Problem 17.3.38 from the collection (workbook) of Kepe O.E. 1989 is a fun physics problem that will help you understand how to apply Newton's laws of rotation and solve joint modulus of reaction problems. The problem presents a carrier 1 with a length of l = 0.5 m, a mass of m1 = 1 kg, and a movable gear wheel 2 of mass m2 = 3 kg, which rotates in a horizontal plane with a constant angular velocity ω = 10 rad/s. This problem is part of the famous collection (solution book) of O.E. Kepe. 1989. Don't miss the opportunity to purchase it for only 199 rubles and practice solving similar problems!

Product description:

It is proposed to purchase the solution to problem 17.3.38 from the collection (solution book) of O.E. Kepe. 1989 in physics. The problem considers the rotation of carrier 1 with length l = 0.5 m and mass m1 = 1 kg, which can be considered a homogeneous rod, in a horizontal plane with a constant angular velocity ω = 10 rad/s. The moving gear 2 has a mass m2 = 3 kg. It is necessary to determine the reaction modulus of the hinge O.

The solution to the problem was done by hand and saved as an image in PNG format, which can be opened on any computer or phone. The problem is solved using the kinetostatic method for a rigid body and a mechanical system, using Newton's laws for rotational motion.

After paying for the goods, you will receive a solution to the problem that is clearly and legibly written. After purchase, it is recommended to leave positive feedback to receive a discount on your next task. The price of the product is 199 rubles. Don't miss the opportunity to purchase the solution to this exciting physics problem and learn how to solve similar problems!

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Solution of Kepe problem No. 17.3.38 from the collection "Dynamics". The problem considers a carrier with a length of 0.5 m and a mass of 1 kg, which rotates in a horizontal plane with a constant angular velocity of 10 rad/s. The problem also involves a movable gear wheel weighing 3 kg. It is necessary to determine the reaction modulus of the hinge O. The solution to the problem is done by hand, in clear and legible handwriting, saved as an image in PNG format and opens on any PC or phone. After purchasing the solution, you can leave a positive review and receive a discount on the next task.

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