3 . x_cm = (m1 v1 + m2 v2 + m3 v2) / (m1+ m2+m3)
we want center of mass at x = 4/2 = 2 m
putting values,
2 = [ (40 x 0.5) + (30 x (4 - 1.5)) + (30 x d)] / (40 + 30 + 30)
d = 3.5 m from end.
or 4-3.5 = 0.5 m from other end.
Ans: (C)
3. A 4 m-long canoe will hold 3 campers. A 40 kg camper sits 0.5 m...
torque rotational equilibrium
2. A 10 kg cat walks along a 3 m long plank with a mass of 4 kg that is supported by two sawhorses. The right sawhorse is 0.7 m from the end of the plank. How far from the end of the right sawhorse can she walk before tipping the plank over. 3. Nintendo has designed a new minigame for the next Sonic Party. In the game, players have to balance a rigid body. Where should...
Two children are sitting on opposite ends of a scesaw of negligible mass. If 40 kg child is 2.0 m from the pivoted point, how far from the pivot point will the other 30 kg child sit on the seesaw to be at equilibrium? (draw diagram to show vectors) A uniform 2000 kg beam 10 m long supports a 500 kg weight 3 meters from the right support. Calculate the forces on each of the vertical support columns? (draw diagram...
Two pylons hold up a 67.000 kg bridge that is 30 m long. Pylon A is 8 m from one end of the bridge and pylon B is 12 m from the other end. A 2000 kg dump truck is the middle of the bridge and a 800 kg car is 5 m from pylon A, towards the middle of the bridge. Draw an extended free body diagram and label all of the forces.
A seesaw has an irregularly distributed mass of 40 kg k g , a length of 3.0 m m , and a fulcrum beneath its midpoint. It is balanced when a 60-kg k g person sits on one end and a 80-kg k g person sits on the other end. 1. Express your answer with the appropriate units. Enter negative value if the center of mass is located closer to the 60-kgkg person and positive value if the center of...
Consider an 75 kg mother and her 15 kg daughter, balancing on a seesaw, which is a uniform board 3 m long and pivoted exactly at its center. If the daughter sits at the end of the seesaw (1.5 m from the center), how far from the center on the other side should the mother sit? Select one: O a. b) 0.4 m O b. d) 1 m O c. c)0.5 m O d. a) 0.3 m
3. A 80 kg adult sits at one end of a 12 m board of 20 kg mass on the other end of which sits his 40 kg son. Where should the pivot be placed so the board is balanced?
A child with a mass of 21 kg sits at a distance of 3 m from the pivot point of a seesaw. Where should a 15 kg child sit to balance the seesaw? m (from the pivot point)
Two kids create a makeshift seesaw by setting a 4-m long uniform plank on a saw horse. The saw horse is 0.5 m to the left of the center of mass of the plank. The child of mass m1 = 48 kg sits at the left end of the plank. The child of mass m2 = 35 kg sits 1 m to the right of the center of mass of the plank. What is the mass of the plank?
A 83 kg adult sits at one end of a 7.0 m long board. His 30 kg child sits on the other end. a.)Where should the pivot be placed so that the board is balanced, ignoring the board's mass? b.Find the pivot point if the board is uniform and has a mass of 12 kg
A 80 kg adult sits at one end of a 7.7 m long board. His 30 kg child sits on the other end. A) Where should the pivot be placed so that the board is balanced, ignoring the board's mass? B)Find the pivot point if the board is uniform and has a mass of 11 kg .