The period ( τ ) of small oscillation of the plate when it is rotated through a small angle about a vertical axis through its mass center G .

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Answer 1

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Chapter 19.2, Problem 19.66P

(a)

To determine

The period (τ) of small oscillation of the plate when it is rotated through a small angle about a vertical axis through its mass center G.

(b)

To determine

The period (τ) of small oscillation of the plate when it is given a small horizontal displacement in a direction perpendicular to AB.

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The gears shown in the figure have a diametral pitch of 2 teeth per inch and a 20° pressure angle. The pinion rotates at 1800 rev/min clockwise and transmits 200 hp through the idler pair to gear 5 on shaft c. What forces do gears 3 and 4 transmit to the idler shaft? TS I y 18T 32T This a 12 x 18T C 48T 5

Question 1. Draw 3 teeth for the following pinion and gear respectively. The teeth should be drawn near the pressure line so that the teeth from the pinion should mesh those of the gear. Drawing scale (1:1). Either a precise hand drawing or CAD drawing is acceptable. Draw all the trajectories of the involute lines and the circles. Specification: 18tooth pinion and 30tooth gear. Diameter pitch=P=6 teeth /inch. Pressure angle:20°, 1/P for addendum (a) and 1.25/P for dedendum (b). For fillet, c=b-a.

5. The figure shows a gear train. There is no friction at the bearings except for the gear tooth forces. The material of the milled gears is steel having a Brinell hardness of 170. The input shaft speed (n2) is 800 rpm. The face width and the contact angle for all gears are 1 in and 20° respectively. In this gear set, the endurance limit (Se) is 15 kpsi and nd (design factor) is 2. (a) Find the revolution speed of gear 5. (b) Determine whether each gear satisfies the design factor of 2.0 for bending fatigue. (c) Determine whether each gear satisfies the design factor of 2.0 for surface fatigue (contact stress). (d) According to the computation results of the questions (b) and (c), explain the possible failure mechanisms for each gear. N4=28 800rpm N₁=43 N5=34 N₂=14 P(diameteral pitch)=8 for all gears Coupled to 2.5hp motor

Answer 2

Question

Chapter 19.2, Problem 19.66P

(a)

To determine

The period (τ) of small oscillation of the plate when it is rotated through a small angle about a vertical axis through its mass center G.

(b)

To determine

The period (τ) of small oscillation of the plate when it is given a small horizontal displacement in a direction perpendicular to AB.

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Answer 3

Question

Chapter 19.2, Problem 19.66P

(a)

To determine

The period (τ) of small oscillation of the plate when it is rotated through a small angle about a vertical axis through its mass center G.

(b)

To determine

The period (τ) of small oscillation of the plate when it is given a small horizontal displacement in a direction perpendicular to AB.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 19.2, Problem 19.66P

(a)

To determine

The period (τ) of small oscillation of the plate when it is rotated through a small angle about a vertical axis through its mass center G.

(b)

To determine

The period (τ) of small oscillation of the plate when it is given a small horizontal displacement in a direction perpendicular to AB.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 19.2, Problem 19.66P

(a)

To determine

The period (τ) of small oscillation of the plate when it is rotated through a small angle about a vertical axis through its mass center G.

(b)

To determine

The period (τ) of small oscillation of the plate when it is given a small horizontal displacement in a direction perpendicular to AB.

Answer 6

Chapter 19.2, Problem 19.66P

(a)

To determine

The period (τ) of small oscillation of the plate when it is rotated through a small angle about a vertical axis through its mass center G.

Answer 7

Chapter 19.2, Problem 19.66P

(a)

To determine

The period (τ) of small oscillation of the plate when it is rotated through a small angle about a vertical axis through its mass center G.

Answer 8

(b)

To determine

The period (τ) of small oscillation of the plate when it is given a small horizontal displacement in a direction perpendicular to AB.

Answer 9

(b)

To determine

The period (τ) of small oscillation of the plate when it is given a small horizontal displacement in a direction perpendicular to AB.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - Prob. 19.3P Ch. 19.1 - Prob. 19.4P Ch. 19.1 - Prob. 19.5P Ch. 19.1 - Prob. 19.6P Ch. 19.1 - Prob. 19.7P Ch. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - Prob. 19.9P Ch. 19.1 - Prob. 19.10P

The period ( τ ) of small oscillation of the plate when it is rotated through a small angle about a vertical axis through its mass center G .

Solution Summary: The author shows the free body diagram of triangular plate and wire as in Figure (1).

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The period (τ) of small oscillation of the plate when it is rotated through a small angle about a vertical axis through its mass center G.

The period (τ) of small oscillation of the plate when it is given a small horizontal displacement in a direction perpendicular to AB.

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