(Solved): A uniform plank of length \( 2.00 \mathrm{~m} \) and mass \( 34.5 \mathrm{~kg} \) is supported by t ...

A uniform plank of length \( 2.00 \mathrm{~m} \) and mass \( 34.5 \mathrm{~kg} \) is supported by three ropes, as indicated by the Bloe vectors in the figure below. Find the tension in each rope when a \( 695-\mathrm{N} \) person is \( d=0.500 \mathrm{~m} \) from the left end. \( \begin{array}{ll}\text { magnitude of } \overrightarrow{\mathrm{T}}_{1} & \mathrm{~N} \\ \text { magnitude of } \overrightarrow{\mathrm{T}}_{2} & \mathrm{~N} \\ \text { magnitude of } \overrightarrow{\mathrm{T}}_{3} & \mathrm{~N}\end{array} \) (1) \( -/ 1.42 \) Points] SERCP11 8.3.P.028. A hungry bear weighing \( 730 \mathrm{~N} \) walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam (see the figure below). The beam is uniform, weighs \( 200 \mathrm{~N} \), and is \( 7,00 \mathrm{~m} \) long, and it is supported by a wite at an angle of \( \theta=60.0^{\circ} \), The basket weighs \( 80.0 \mathrm{~N} \). (4) (a) Draw a force diagram for the beam, (Submit a file with a maximum size of 1 MB.) no tle selected This answer has not been graded yet. (b) When the bear is at \( x=1.20 \mathrm{~m} \), find the tension in the wire supporting the beam. N When the bear is at \( x=1.20 \mathrm{~m} \), find the components of the force exerted by the wall on the left end of the beam. (Assume the positive \( +x \) direction is to the right and the positive \( +y \) direction is upward. Include the sign of the value in your answec,) \[ \begin{array}{ll} F_{x}= & N \\ F_{y}= & N \end{array} \] (c) If the wire can withstand a maximum tension of \( 875 \mathrm{~N} \), what is the maximum distance the bear can walk before the wire breaks?