Question

5. The displacement function of a cam mechanism with a translating follower during rise is y($\theta$) = 10($\theta$ / $\pi$)² cm y($\theta$)=5?10(1?$\theta$/$\pi$)² cm 0 ? $\theta$ ? $\pi$ / 2 $\pi$ / 2 ? $\theta$ ? $\pi$ Radius of the roller is 7.5 cm and the magnitude of the pressure angle during rise should not exceed 30°. Determine the minimum permissible base circle radius and the necessary offset. With these values of the offset and the base circle, what will be the expression for the radius of curvature of the cam profile during the first part of the rise? The cam rotates in the CCW direction.

          5. The displacement function of a cam mechanism with a translating follower during rise is
y($\theta$) = 10($\theta$ / $\pi$)² cm
y($\theta$)=5?10(1?$\theta$/$\pi$)² cm
0 ? $\theta$ ? $\pi$ / 2
$\pi$ / 2 ? $\theta$ ? $\pi$
Radius of the roller is 7.5 cm and the magnitude of the pressure angle during rise should not exceed 30°.
Determine the minimum permissible base circle radius and the necessary offset. With these values of the
offset and the base circle, what will be the expression for the radius of curvature of the cam profile during
the first part of the rise? The cam rotates in the CCW direction.

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Added by Ricky V.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

09/20/2023

Step 1

We have $dy/d\theta = 20(\theta/\pi)(\frac{1}{\pi}) = \frac{20\theta}{\pi^2}$. The maximum pressure angle occurs at $\theta = \pi/2$. $\tan 30^\circ = \frac{dy/d\theta}{r + y} = \frac{10/\pi}{r + 5}$ $r + 5 = \frac{10/\pi}{\tan 30^\circ} = Show more…

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5. The displacement function of a cam mechanism with a translating follower during rise is $y(\theta) = 10(\theta/\pi)^2$ cm $0 \le \theta \le \pi/2$ $y(\theta) = 5 - 10(1 - \theta/\pi)^2$ cm $\pi/2 \le \theta \le \pi$ Radius of the roller is 7.5 cm and the magnitude of the pressure angle during rise should not exceed 30°. Determine the minimum permissible base circle radius and the necessary offset. With these values of the offset and the base circle, what will be the expression for the radius of curvature of the cam profile during the first part of the rise? The cam rotates in the CCW direction.

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