Solved: Determine the speed v of the 50-Mg mass when it is

Chapter 14, Problem 14-44

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QUESTION:

Determine the speed v of the 50-Mg mass when it is just over the top of the steel post, if after impact, the maximum stress developed in the post is 550 MPa. The post has a length of L = 1 m and a cross-sectional area of \(0.01 \mathrm{~m}^{2}\). \(E_{\mathrm{st}}=200 \mathrm{GPa}, \sigma_{Y}=600 \mathrm{MPa}\).

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QUESTION:

Determine the speed v of the 50-Mg mass when it is just over the top of the steel post, if after impact, the maximum stress developed in the post is 550 MPa. The post has a length of L = 1 m and a cross-sectional area of \(0.01 \mathrm{~m}^{2}\). \(E_{\mathrm{st}}=200 \mathrm{GPa}, \sigma_{Y}=600 \mathrm{MPa}\).

ANSWER:

Problem 14-44Determine the speed v of the 50-Mg mass when it is just over the top of the steel post, if afterimpact, the maximum stress developed in the post is 550 MPa. The post has a length of L = 1 m 2and a cross-sectional area of 0.01 m . Est200 GPa, = 60 MPa. Step-by-step solution Step 1 of 4 ^GivenModulus of elasticity for steel, E = 200 GPa stYield stress, 600MPaMass, m = 50 MPa= 50000 kgWeight, W = 50000 × 9.81N 2Area, A = 0.01mLength, L = 2 mMaximum stress developed in the post = 550MPa max

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