Question

An 85-kg object falls 11 m from rest before it is jerked to a stop by a safety cable in 0.070 s. The cable is attached to a 7.0 mm diameter eyebolt sunk into a rigid wooden beam. Assuming the beam does not deform at all, what is the approximate average shear stress $\sigma_{avg}$ on the bolt? $\sigma_{avg} \approx$ N/m²

Name: an 85 kg object falls 11 m from rest before it is jerked to a stop by a safety cable in 0070 s the cable is attached to a 70 mm diameter eyebolt sunk into a rigid wooden beam assuming the be 63754
Uploaded: 2023-11-20T04:36:05-08:00
Duration: 4 min 10 s
Channel: Prabhat Tyagi
Description: an 85 kg object falls 11 m from rest before it is jerked to a stop by a safety cable in 0070 s the cable is attached to a 70 mm diameter eyebolt sunk into a rigid wooden beam assuming the be 63754

          An 85-kg object falls 11 m from rest before it is jerked to a stop by a safety cable in 0.070 s. The cable is attached to a 7.0 mm diameter eyebolt sunk into a rigid wooden beam.
Assuming the beam does not deform at all, what is the approximate average shear stress $\sigma_{avg}$ on the bolt?
$\sigma_{avg} \approx$  N/m²

an 85 kg object falls 11 m from rest before it is jerked to a stop by a safety cable in 0070 s the cable is attached to a 70 mm diameter eyebolt sunk into a rigid wooden beam assuming the be 63754

Added by Daniel J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prabhat Tyagi

11/20/2023

Step 1

We can use the following kinematic equation: $v^2 = u^2 + 2as$ where: $v$ is the final velocity $u$ is the initial velocity (0 m/s since it starts from rest) $a$ is the acceleration due to gravity ($9.81 m/s^2$) $s$ is the distance fallen (11 m) Plugging in the Show more…

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An 85-kg object falls 11 m from rest before it is jerked to a stop by a safety cable in 0.070 s. The cable is attached to a 7.0 mm diameter eyebolt sunk into a rigid wooden beam. Assuming the beam does not deform at all, what is the approximate average shear stress $\sigma_{avg}$ on the bolt? $\sigma_{avg} \approx$ N/m²