Explanation Given information: The weight ( W ) of bullet is 0.08 lb. The velocity ( v 0 ) of bullet is 1800 ft/s . The weight ( W B ) of wooden rod AB is 15 lb. The length ( L ) of wooden rod and cord is 30 in.. The distance of bullet fired from mass center ( G ) is h . Calculation: Find the mass ( m ) of the bullet using the equation: m = W g Substitute 0.08 lb for W and 32.2 ft/s 2 for g . m = 0.08 32.2 = 2.4845 × 10 − 3 lb ⋅ s 2 /ft Find the mass ( m B ) of the wooden rod AB using the equation: m B = W B g Substitute 15 lb for W B and 32.2 ft/s 2 for g . m B = 15 32.2 = 0.4658 lb ⋅ s 2 /ft Find the moment of inertia ( I ¯ ) of the rod using the equation: I ¯ = 1 12 m L 2 Substitute 2.4845 × 10 − 3 lb ⋅ s 2 /ft for m and 30 in. for L . I ¯ = 1 12 ( 2.4845 × 10 − 3 ) ( 30 in . × 1 ft 12 in . ) 2 = 1.294 × 10 − 3 lb ⋅ s 2 ⋅ ft Sketch the impulse and momentum diagram of the rod AB as shown in Figure (1). Here, T is the tension in the cord and Δ t is the time interval. Refer Figure (2), Take moment about G (positive sign in clockwise direction). m B v 0 h = I ¯ ω 2 ω 2 = m B v 0 h I ¯ (1) Here, ω 2 is the angular velocity of rod AB after the impact

Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9780073398242

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

Publisher: McGraw-Hill Education

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Chapter 17.3, Problem 17.105P

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The distance h for which, immediately after the bullet becomes embedded.

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Chapter 17.3, Problem 17.104P

Chapter 17.3, Problem 17.107P

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Chapter 17 Solutions

Vector Mechanics for Engineers: Statics and Dynamics

Ch. 17.1 - A round object of mass m and radius r is released...Ch. 17.1 - Prob. 17.2CQ Ch. 17.1 - Prob. 17.3CQ Ch. 17.1 - Prob. 17.4CQ Ch. 17.1 - Slender bar A is rigidly connected to a massless...Ch. 17.1 - A 200-kg flywheel is at rest when a constant 300...Ch. 17.1 - The rotor of an electric motor has an angular...Ch. 17.1 - Prob. 17.3P Ch. 17.1 - Two disks of the same material are attached to a...Ch. 17.1 - Prob. 17.5P

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