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Figure shows a device to open windows commonly found in elevated locations of gymnasiums and factories. At the instant when , the drive nut moves to the right at a velocity of 1 ft/s and accelerates at 1 ft/s2.At the same time, the velocity of the shoe is 0.47 ft/s, and it accelerates at a rate of 0.91 ft/s2. Graphically determine the linear velocity of C with respect to B and the linear acceleration of C with respect to B?
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Figure shows a device to open windows commonly found in elevated locat...
< b="" />Linear Velocity of C with respect to B< />

To determine the linear velocity of C with respect to B, we need to consider the relative motion between C and B.

The linear velocity of C with respect to B can be calculated by taking the difference in velocities between C and B. In this case, the velocity of the shoe is given as 0.47 ft/s, and the velocity of the drive nut is given as 1 ft/s.

Therefore, the linear velocity of C with respect to B is:

Vc/B = Vc - Vb
= 0.47 ft/s - 1 ft/s
= -0.53 ft/s

The negative sign indicates that the velocity of C is in the opposite direction to that of B.

< b="" />Linear Acceleration of C with respect to B< />

To determine the linear acceleration of C with respect to B, we need to consider the relative acceleration between C and B.

The linear acceleration of C with respect to B can be calculated by taking the difference in accelerations between C and B. In this case, the acceleration of the shoe is given as 0.91 ft/s^2, and the acceleration of the drive nut is given as 1 ft/s^2.

Therefore, the linear acceleration of C with respect to B is:

Ac/B = Ac - Ab
= 0.91 ft/s^2 - 1 ft/s^2
= -0.09 ft/s^2

Again, the negative sign indicates that the acceleration of C is in the opposite direction to that of B.

< b="" />Explanation< />

The device shown in the figure is used to open windows in elevated locations of gymnasiums and factories. It consists of a drive nut and a shoe connected by a mechanism. The drive nut is moved by an external force, causing the shoe to move as well, resulting in the opening of the window.

The given information provides the velocities and accelerations of both the drive nut and the shoe. By considering the relative motion between C and B, we can determine the linear velocity of C with respect to B and the linear acceleration of C with respect to B.

The linear velocity is calculated by taking the difference in velocities between C and B. Similarly, the linear acceleration is calculated by taking the difference in accelerations between C and B.

In this case, the linear velocity of C with respect to B is -0.53 ft/s, indicating that C is moving in the opposite direction to B. The linear acceleration of C with respect to B is -0.09 ft/s^2, indicating that C is decelerating in the opposite direction to B.

This analysis helps us understand the relative motion between the drive nut and the shoe, which is crucial for the operation of the device in opening the windows.
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Figure shows a device to open windows commonly found in elevated locations of gymnasiums and factories. At the instant when , the drive nut moves to the right at a velocity of 1 ft/s and accelerates at 1 ft/s2.At the same time, the velocity of the shoe is 0.47 ft/s, and it accelerates at a rate of 0.91 ft/s2. Graphically determine the linear velocity of C with respect to B and the linear acceleration of C with respect to B?
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Figure shows a device to open windows commonly found in elevated locations of gymnasiums and factories. At the instant when , the drive nut moves to the right at a velocity of 1 ft/s and accelerates at 1 ft/s2.At the same time, the velocity of the shoe is 0.47 ft/s, and it accelerates at a rate of 0.91 ft/s2. Graphically determine the linear velocity of C with respect to B and the linear acceleration of C with respect to B? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Figure shows a device to open windows commonly found in elevated locations of gymnasiums and factories. At the instant when , the drive nut moves to the right at a velocity of 1 ft/s and accelerates at 1 ft/s2.At the same time, the velocity of the shoe is 0.47 ft/s, and it accelerates at a rate of 0.91 ft/s2. Graphically determine the linear velocity of C with respect to B and the linear acceleration of C with respect to B? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Figure shows a device to open windows commonly found in elevated locations of gymnasiums and factories. At the instant when , the drive nut moves to the right at a velocity of 1 ft/s and accelerates at 1 ft/s2.At the same time, the velocity of the shoe is 0.47 ft/s, and it accelerates at a rate of 0.91 ft/s2. Graphically determine the linear velocity of C with respect to B and the linear acceleration of C with respect to B?.
Solutions for Figure shows a device to open windows commonly found in elevated locations of gymnasiums and factories. At the instant when , the drive nut moves to the right at a velocity of 1 ft/s and accelerates at 1 ft/s2.At the same time, the velocity of the shoe is 0.47 ft/s, and it accelerates at a rate of 0.91 ft/s2. Graphically determine the linear velocity of C with respect to B and the linear acceleration of C with respect to B? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
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