A massless rod of length L = 2.3 m stands up straight, fixed to the ground...

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Physics

A massless rod of length L = 2.3 m stands up straight, fixed tothe ground by a bolt. A horizontal force of 8.2 N is applied at avertical distance of L/2 to the right. To counter this force andkeep the rod stationary, a wire is fixed at the top of the rod andattached to the ground some distance away to the left, making anangle of 45 degrees to the horizontal.
a) What is the tension in the wire, in N?
Answer: 5.798
b) Calculate the horizontal component of the force of the bolton the rod, in N, taking right as positive.
Answer: -4.1
c) Calculate the vertical component of the force of the bolt onthe rod, in N, taking up as positive.
Answer: 4.1
Suppose youâ€™re building a contraption which contains a solid rodof length L = 11.1 m and mass 4.5 kg. This rod has its lower endbarely above the ground at an angle of 23.7 degrees with respect tothe horizontal, and is ultimately held up by a rope connected at adistance L/4 from the top of the rod making an angle of 25.4degrees with respect to the rod. The top of the rod may rotate asit is held in place by a bolt connected to a wall. Calculate thetension in the rope which keeps the rod from touching theground.
Answer: 188.475
Could you please write down the full solution?

Answer & Explanation Solved by verified expert

3.9 Ratings (456 Votes)

Tension in the string has to be resolve into two componentasTsin45 as Horizontal part and TCos45 as verticle part as shownin figure part aa To find the Tension we can use the Torque Balance equationtaking Bolt point as referencewhere d is verticle distance of the force from the pivotpoint See Answer

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