In order to balance the plank by the cord, the Torque around the
pivot should be 0.
1)We take the x and y components of tension in the string along the x and they axis
2) Balance the torque around the pivot by balancing the torques due to weight of the plank and tension of the string.
A plank of length L 2.000 m and mass M 4.00 kg is suspended horizontally by...
A plank of length L=1.800 m and mass M 9.00 kg is suspended horizontally by a thin cable at one end and to a pivot on a wall at the other end as shown. The cable is attached at a height H=1.50 m above the pivot and the plank's CM is located fron distance d=0.500 m he pivot H CM d Calculate the tension in the cable.
2. (50 points) A uniform rod of length L and mass m is hinged to a wall at one end and suspended from the wall by a cable that is attached to the other end of the rod at an angle of B to the rod (see figure below). Assume the cable has zero mass. There is a contact force at the pivot on the rod. The magnitude and direction of this force is unknown. In this problem you will...
A crate with a mass of 161.5 kg is suspended from the end of a uniform boom with a mass of 71.3 kg. The upper end of the boom is supported by a cable attached to the wall and the lower end by a pivot (marked X) on the same wall. Calculate the tension in the cable. A crate with a mass of 161.5 kg is suspended from the end of a uniform boom with a mass of 71.3 kg....
A window washer with a mass of 93.0 kg stands a distance, D = 0.600 m, from the left end of a plank of length, L= 2.10 m, with a mass of 15.0 kg. The plank is hung on two cables as shown. Find T2, the tension in the right cable.
A window washer with a mass of 85.0 kg stands a distance, D = 0.600 m, from the left end of a plank of length, L= 1.70 m, with a mass of 19.0 kg. The plank is hung on two cables as shown. Find T2, the tension in the right cable.
3) A uniform horizontal beam of length 12.0 m and a mass of 20 kg is attached to a wall. Its far end is suspended by a cable that makes an angle of 63 degrees with the beam. A person of mass 72 kg stands a distance d = 4.0 m from the wall. Find the tension in the cable as well as the magnitude and direction of the force exerted by the wall on the beam.
Problem 6: A uniform beam of length L = 3.2 m and mass M = 32 kg has its lower end fixed to pivot at a point P on the floor, making an angle θ = 29° as shown in the digram. A horizontal cable is attached at its upper end B to a point A on a wall. A box of the same mass Mas the beam is suspended from a rope that is attached to the beam one-fourth...
Children playing pirates have suspended a uniform wooden plank with mass M = 16.6 kg length 1 = 2.48 m, and angle θ = 35.0 as shown in the i ure what is the tension in each of the three ropes when Sophia, with a mass of m 20.2 kg, is made to "walk the plank" and is d 1.5 m from reaching the end of the plank? F3- 35.0
A weight (with a mass of 100 kg) is suspended from a point at the right-hand end of a uni- form boom with a mass of 29 kg. A horizontal cable at an elevation of 4.5 m is attached to the wall and to the boom at this same end point. The boom is also supported by a pivot (at the origin of the coordinate axes) on the same wall. Vertical Height (m) 29 kg 100 kg 04 0 1...
A uniform board of length 2.40 m and mass 4.00 kg is pivoted at one end and has a rope attached at the other end, as shown in the figure below. A bucket of mass 2.00 kg is suspended 40.0 cm from the rope. Find: (a) the tension in the rope; (b) the horizontal and vertical forces exerted by the pivot.