Question
Please help. A horizontal boom is used to support the sign of a coffee shop. The boom itself is supported by a cable attached to
Please help.
A horizontal boom is used to support the sign of a coffee shop. The boom itself is supported by a cable attached to one of its ends and its opposite end sits against and is supported by the wall horizontally by a normal force and vertically by friction. The coffee shop sign, originally supported by to ropes connected to the boom, is now precariously held by a single rope. The boom has a non-negligible mass. The system is in equilibrium (for the moment). Below is an illustration of the setup and a partially completed extended force diagram.
7. Torque and the Cross Product A horizontal boom is used to support the sign of a coffee shop. The boom itself is supported by a cable attached to one of its ends and its Opposite end sits against and is supported by the wall horizontally by a normal force and vertically by friction. The coffee shop sign, originally supported by to ropes connected to the boom, is now precariously held by a single rope. The boom has a non-negligible mass. The system is in equilibrium (for the moment). Below is an illustration of the setup and a partially completed extended force diagram. a. Complete the force diagram by ensuring properly labeling and ensuring all forces have been included. b. Make a new sketch of the extended force diagram from part a and at the far left side of the rod place an "x" to represent the axis of rotation. On this new sketch draw position vectors for each force that is present on the diagram. The position vector points from the axis of rotation to the point of the diagram where the force acts. Below is an example showing only the weight force and its position vector FW. 9 TW WB c. For each pair of force and position vectors in the sketch of part b, apply the right hand rule to the denition of torque 'T" = F X F: and nd the sign or direction (e.g. counterclockwise or clockwise) for each torque provided by each force. cl. Assuming we had enough information to nd the magnitude of each of the torques, what would all the torques add up to from part c. Explain your conclusion. e. Make a new sketch of the extended force diagram from part a (again!) and place an "x" to represent the axis of rotation at any point you like (the work is easier if the point is on the rod at the location of one or more of the forces, and more challenging if the point is entirely off the rod). On this new sketch draw position vectors for each force that is present on the diagram. f. For each pair of force and position vectors in the sketch of part e, apply the right hand rule to the definition of torque 7 = T X F and find the sign or direction (e.g. counterclockwise or clockwise) for each torque provided by each force. g. Once again, assuming we had enough information to find the magnitude of each of the torques, what would all the torques add up to from part f. Explain your conclusionStep by Step Solution
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