Engineering Mechanics: Dynamics 3rd. Edition by Andrew Pytel, Jaan Kiusalaas | 9780495295631 | 495295639 | Holooly

Mechanics Dynamics

Engineering Mechanics: Dynamics

130 SOLVED PROBLEMS

Question: 17.9

A homogeneous slender bar AB of mass m and length L is released from rest in the position shown in Fig. (a). Determine the acceleration of end A, the reaction at A, and the angular acceleration of the bar immediately after the release. Assume that the horizontal plane is frictionless. ...

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The free-body diagram (FBD) and mass-acceleration ...

Question: 17.3

The mass center of the 10-kg sliding door in Fig. (a) is located at G. The door is supported on the horizontal rail by sliders at A and B. The coefficient of static as well as kinetic friction is 0.4 at A and 0.3 at B. The door was at rest before the horizontal force P = 60 N was applied. (1) Find ...

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Part 1 The free-body and mass-acceleration diagram...

Question: F.7

The assembly in Fig. (a) consists of two identical, thin plates, each of mass M and thickness t. For point O, determine (1) the inertia tensor with respect to the axes shown; and (2) the principal moments of inertia and the principal axes. ...

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Part 1 The inertia tensor at point O for the assem...

Question: F.6

The assembly consists of three small balls, each of mass M, that are attached to slender rods of negligible mass. Calculate the moment of inertia of the assembly about the axis O A. ...

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The moment of inertia about the axis O A can be fo...

Question: F.5

The assembly shown is formed by joining two pieces of 1.5 mm steel plate. Determine its products of inertia with respect to the axes shown. The weight density of steel is γ = 7900 kg/m³. ...

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In this problem, we are justified in using the thi...

Question: F.4

Using integration, compute the products of inertia of the homogeneous body in Fig. (a) with respect to the axes shown. Express the results in terms of the mass m of the body. ...

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We choose the integration element shown in Fig. (b...

Question: F.3

Figure (a) shows a homogeneous block of mass m. Using integration, calculate its mass moments of inertia about each of the coordinate axes shown. The origin O is located at the center of the bottom face. ...

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We select for the differential element the plate o...

Question: F.2

As shown in the figure, an assembly is formed by joining a 0.3-kg rectangular plate to a 0.2-kg triangular plate. Assuming that both plates are thin and homogeneous, calculate the moment of inertia of the assembly about each of the three coordinate axes. ...

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We use Eqs. (F.3) to compute the mass moment of in...

Question: F.1

Figure (a) shows a homogeneous slender rod of mass m and length L. Determine the moments of inertia of the rod about the x-, y-, and z-axes that pass through its mass center G. ...

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The term slender implies that the cross-sectional ...

Question: 20.9

Figure (a) shows a homogeneous semicylinder that rocks back and forth without slipping on the horizontal plane. The angular position of the semicylinder is defined by the angle θ. Determine the natural circular frequency of the oscillations for small amplitudes, assuming the motion to be simple ...

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This problem is not well suited for solution using...

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