Vector Mechanics for Engineers Statics and Dynamics 11th. Edition by Beer, Ferdinand; Johnston, E.; Mazurek, David; Cornwell, Phillip; Self, Brian | 9780073398242 | 73398241

Mechanics Dynamics, Mechanics Statics

Vector Mechanics for Engineers Statics and Dynamics

224 SOLVED PROBLEMS

1 SOLVED PROBLEMS

Question: 9.SP.13

A thin steel plate that is 4 mm thick is cut and bent to form the machine part shown. The density of the steel is 7850 kg/m³. Determine the moments of inertia of the machine part with respect to the coordinate axes. STRATEGY: The machine part consists of a semicircular plate and a rectangular plate ...

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MODELING and ANALYSIS: Computation of Masses. Semi...

Question: 11.SP.15

Knowing that at the instant shown cylinder/ramp A has a velocity of 8 in./s directed down, determine the velocity of block B. STRATEGY: You have objects connected by cables, so this is a dependent-motion problem. You should define coordinates for each block-object and write a constraint equation for ...

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MODELING and ANALYSIS: Define position vectors, as...

Question: 15.SP.23

The bent rod OAB rotates about the vertical axis OB. At the instant considered, its angular velocity and angular acceleration are, respectively, 20 rad/s and 200 rad/s², which are both clockwise when viewed from the positive Y axis. The collar D moves along the rod, and at the instant considered, ...

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ANALYSIS: a. Velocity

\mathbf{v}_D

...

Question: 15.SP.20

In the Geneva mechanism of Sample Prob. 15.19, disk D rotates with a constant counterclockwise angular velocity ωD of 10 rad/s. At the instant when φ = 150°, determine the angular acceleration of disk S. STRATEGY: You have two rigid bodies whose motions are related; therefore use rigid-body ...

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MODELING and ANALYSIS: Since you are computing acc...

Question: 16.SP.13

In the engine system from Sample Prob. 15.15, the crank AB has a constant clockwise angular velocity of 2000 rpm. Knowing that the connecting rod BD weighs 4 lb and the piston P weighs 5 lb, determine the forces on the connecting rod at B and D. Assume the center of mass of BD is at its geometric ...

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ANALYSIS: Using Fig. 1, applying Newton’s second l...

Question: 15.SP.19

The Geneva mechanism shown is used in many counting instruments and in other applications where an intermittent rotary motion is required. Disk D rotates with a constant counterclockwise angular velocity ωD of 10 rad/s. A pin P is attached to disk D and slides along one of several slots cut in disk ...

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MODELING and ANALYSIS: Using geometry, you can sol...

Question: 15.SP.18

In a can crusher, bar AB has a length of 30 in. and slides inside a collar located at point P. This collar is attached to plunger DP, which is constrained to move vertically. At the instant shown, the velocity of point B is a constant 4 ft/s perpendicular to the bar. Determine the velocity and ...

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MODELING and ANALYSIS: Attach a rotating coordinat...

Question: 17.SP.7

Gear A has a mass of 10 kg and a radius of gyration of 200 mm, and gear B has a mass of 3 kg and a radius of gyration of 80 mm. The system is at rest when a couple M with a magnitude of 6 N · m is applied to gear B. (These gears were considered in Sample Prob. 17.2.) Neglecting friction, ...

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ANALYSIS: Recall from Sample Prob. 17.2 that the c...

Question: 15.SP.17

At the instant shown, the truck is moving forward with a speed of 2 ft/s and is slowing down at a rate of 0.25 ft/s². The length of the boom AB is decreasing at a constant rate of 0.5 ft/s, the angular velocity of the boom is 0.1 rad/s, and the angular acceleration of the boom is 0.02 rad/s², both ...

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MODELING and ANALYSIS: Attach a rotating coordinat...

Question: 15.SP.16

The linkage ABDE moves in the vertical plane. Knowing that, in the position shown, crank AB has a constant angular velocity ω1 of 20 rad/s counterclockwise, determine the angular velocities and angular accelerations of the connecting rod BD and of the crank DE. STRATEGY: The linkage consists ...

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MODELING and ANALYSIS:Velocities. Assuming that th...

Question: 6.SP.7

A hydraulic-lift table is used to raise a 1000-kg crate. The table consists of a platform and two identical linkages on which hydraulic cylinders exert equal forces. (Only one linkage and one cylinder are shown.) Members EDB and CG are each of length 2a, and member AD is pinned to the midpoint of ...

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STRATEGY: The free-body diagram of the entire fram...