Question

The 90 kg farmer tries to restrain the cow from escaping by wrapping the rope two turns around the tree trunk as shown in Figure 3. If the cow exerts a force of 1250 N on the rope and the coefficients of static friction between the rope and the trunk is $\mu_s = 0.15$ and between the man's shoes and the ground is $\mu_s' = 0.3$, determine if the farmer can keep the cow from escaping.

Name: the 90 kg farmer tries to restrain the cow from escaping by wrapping the rope two turns around the tree trunk as shown in figure 3 if the cow exerts a force of 1250 n on the rope and the coe 45683
Uploaded: 2020-11-24T12:13:22-08:00
Duration: 2 min 50 s
Channel: Narayan Hari
Description: the 90 kg farmer tries to restrain the cow from escaping by wrapping the rope two turns around the tree trunk as shown in figure 3 if the cow exerts a force of 1250 n on the rope and the coe 45683

          The 90 kg farmer tries to restrain the cow from escaping by wrapping the rope two turns around the tree trunk as shown in Figure 3. If the cow exerts a force of 1250 N on the rope and the coefficients of static friction between the rope and the trunk is $\mu_s = 0.15$ and between the man's shoes and the ground is $\mu_s' = 0.3$, determine if the farmer can keep the cow from escaping.

the 90 kg farmer tries to restrain the cow from escaping by wrapping the rope two turns around the tree trunk as shown in figure 3 if the cow exerts a force of 1250 n on the rope and the coe 45683

Added by Christina M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Narayan Hari

11/24/2020

Step 1

The coefficient of static friction between the rope and the trunk is $\mu_s = 0.15$. The number of turns is $n=2$. The tension in the rope after wrapping around the tree trunk is given by $T = F_c e^{\mu_s \theta}$, where $\theta$ is the angle of wrap in radians. Show more…

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The 90 kg farmer tries to restrain the cow from escaping by wrapping the rope two turns around the tree trunk as shown in Figure 3. If the cow exerts a force of 1250 N on the rope and the coefficients of static friction between the rope and the trunk is $\mu_s = 0.15$ and between the man's shoes and the ground is $\mu_s' = 0.3$, determine if the farmer can keep the cow from escaping.