A box of negligible mass rests at the left end of a 2.15-mm, 25.5-kg plank. The width of the box is 75.0 cmcm , and sand is to be distributed uniformly throughout it. The center of gravity of the nonuniform plank is 50.0 cmcm from the right end. What mass of sand should be put into the box so that the plank balances horizontally on a fulcrum placed just below its midpoint? The image depicts a horizontal plank balanced on a fulcrum, illustrating principles of equilibrium and center of gravity. - The plank is shown with a sandbox placed on its left end.- The sandbox has a length of 75.0 cm.- The distance between the center of gravity of the plank and the fulcrum is 50.0 cm.- There is an indicator for the center of gravity of the plank, marked on the right side of the fulcrum. The plank and sandbox demonstrate how weight distribution affects balance, with the placement of the fulcrum and the center of gravity playing crucial roles in maintaining equilibrium.

Answered: Image /qna-images/answer/0225b95d-726c-4cfd-96cb-3d0bcf707f08.jpg

A box of negligible mass rests at the left end of a 2.15-mm, 25.5-kg plank. The width of the box is 75.0 cmcm , and sand is to be distributed uniformly throughout it. The center of gravity of the nonuniform plank is 50.0 cmcm from the right end. What mass of sand should be put into the box so that the plank balances horizontally on a fulcrum placed just below its midpoint?

A box of negligible mass rests at the left end of a 2.15-mm, 25.5-kg plank. The width of the box is 75.0 cmcm , and sand is to be distributed uniformly throughout it. The center of gravity of the nonuniform plank is 50.0 cmcm from the right end. What mass of sand should be put into the box so that the plank balances horizontally on a fulcrum placed just below its midpoint?

Similar questions

A bucket crane consists of a uniform boom of mass M = 201 kg and length L 59.81 ft that pivots at a point on the bed of a fixed truck. The truck supports an elevated bucket with a worker inside at the other end of the boom, as shown in the figure. The bucket and the worker together can be modeled as a point mass of weight 201 lb located at the end point of the boom. Suppose that when the boom makes an angle of 66.1° with the horizontal truck bed, the bucket crane suddenly loses power, causing the bucket and boom to rotate freely toward the ground. Find the magnitude of the angular acceleration a of the system just after the crane loses power. Take the rotation axis to be at the point where the boom pivots on the truck bed. Use g = 9.81 m/s² for the acceleration due to gravity. For unit conversions, assume that 1 m = 3.28 ft and
A 520-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 140-N rod as indicated in the figure below. The left end of the rod is supported by a hinge, and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) 30.0° T ICE CREAM SHOP (a) Find the tension T in the cable. (Give the magnitude of the tension.) N (b) Find the horizontal and vertical components of force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) horizontal component N vertical component N
A 420-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 130-N rod as indicated in the figure below. The left end of the rod is supported by a hinge and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) 30.0 IE CEAM MOP (a) Find the (magnitude of the) tension T in the cable. N (b) Find the horizontal and vertical components of the force exerted on the left end the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) horizontal component vertical component
A 560-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 150-N rod as indicated in the figure below. The left end of the rod is supported by a hinge and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) T 30.0 ICE CREAM SHOP (a) Find the (magnitude of the) tension T in the cable. (b) Find the horizontal and vertical components of the force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) horizontal component vertical component N
A 1.90-m-long barbell has a 24.0 kg weight on its left end and a 32.0 kg weight on its right end. Where is the center of gravity if the 9.00 kg mass of the barbell itself is taken into account?