Explanation Given information: The length of the crane ( L ) is 30 ft . The angle of the swing ( θ ) is 15 ° . Calculation: Show the free body diagram of the ore-mixing operation bucket as in Figure (1). Refer Figure (1), The position ‘1’ is the position at which the bucket B is exactly below the A , and position ‘2’ is the position at which the bucket experiences the maximum swing Here, the final kinetic energy of the bucket ( T 2 ) is zero as the bucket is brought to a sudden stop. Calculate the horizontal distance ( d ) using the formula: d = L cos θ Substitute 30 ft for L and 15 ° for θ . d = 30 cos ( 15 ) = 28.978 ft Calculate the height ( h ) above which bucket rises when it is suddenly halted using the formula: h = L − d Substitute 30 ft for L and 28.978 ft for d . h = 30 − 28.978 = 1.022 ft Use work and energy principle which states that kinetic energy of the particle at a displaced point can be obtained by adding the initial kinetic energy and the work done on the particle during its displacement. Calculate the maximum velocity of the bucket ( v ) using the formula: T 1 + U 1 − 2 = T 2 Here, U 1 − 2 is the work done by the bucket in rising

Loose Leaf for Vector Mechanics for Engineers: Statics and Dynamics

12th Edition

ISBN: 9781259977206

Author: BEER, Ferdinand P., Johnston Jr., E. Russell, Mazurek, David, Cornwell, Phillip J., SELF, Brian

Publisher: McGraw-Hill Education

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Safety guidelines for material handling

Material handling involves transportation and movement of materials (inventory) within the storehouse or warehouse. The process also involves efficient inventory management, which forms an essential part of any manufacturing or fabrication company.

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Chapter 13.1, Problem 13.5P

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Find the maximum allowable speed (v) of the crane.

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Chapter 13.1, Problem 13.4P

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Chapter 13 Solutions

Loose Leaf for Vector Mechanics for Engineers: Statics and Dynamics

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Find the maximum allowable speed ( v ) of the crane.

Solution Summary: The author shows the free body diagram of the ore-mixing operation bucket as in Figure (1).

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Find the maximum allowable speed (v) of the crane.

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Chapter 13 Solutions