Answer: A truck with mass m has a brake failure while

Chapter 7, Problem 66P

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QUESTION:

A truck with mass m has a brake failure while going down an icy mountain road of constant downward slope angle \(\alpha\) (Fig. P7.66). Initially the truck is moving downhill at speed \(v_{0}\). After careening downhill a distance L with negligible friction, the truck driver steers the runaway vehicle onto a runaway truck ramp of constant upward slope angle \(\beta\). The truck ramp has a soft sand surface for which the coefficient of rolling friction is \(\mu_{r}\). What is the distance that the truck moves up the ramp before coming to a halt? Solve using energy methods.

Equation Transcription:

Text Transcription:

\alpha

v_0

\beta

\mu_{r}

Questions & Answers

QUESTION:

A truck with mass m has a brake failure while going down an icy mountain road of constant downward slope angle \(\alpha\) (Fig. P7.66). Initially the truck is moving downhill at speed \(v_{0}\). After careening downhill a distance L with negligible friction, the truck driver steers the runaway vehicle onto a runaway truck ramp of constant upward slope angle \(\beta\). The truck ramp has a soft sand surface for which the coefficient of rolling friction is \(\mu_{r}\). What is the distance that the truck moves up the ramp before coming to a halt? Solve using energy methods.

Equation Transcription:

Text Transcription:

\alpha

v_0

\beta

\mu_{r}

ANSWER:

Solution 66P

Step 1:

In the left hand side where the mass is sliding without friction,

The height is, .

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