Consider the flat object bounded by the curves y = 4x and y = Vx +b where (b=2). The M object is o = yx where the relationship between the total mass M and y is =0.0309.

Find the center of mass (x̄, ȳ, z̄) of the object shown, given:  L1 = 50 mm,   L2 = 110 mm,   L3 = 25 mm,   L4 = 70 mm,   L5 = 20 mm,   L6 = 20 mm,   L7 = Ø 10 mm

The plant in the picture has mass of 29 kg, and is hanging at a distance of 1.4 meters from the wall. The horizontal rod has mass of 6.2 kg. Assume that its weight is evenly distributed, therefore it can be treated as a single force at the center of mass. The rod is 2 meters long, and there is a cable at a 23° angle supporting it at the end. Center of mass of rod from the point = 2/2=1m Using the wall as the axis of rotation, find the magnitude of the downward torque, from both the weight of the rod and the weight of the plant. t=458.64Nm a.The downward torque is balanced by the upward torque from the force of tension. Find the magnitude of the force of tension. T=?N b.F is the contact force between the rod and the wall. Using the other horizontal force in the problem, find the horizontal component of F (the normal force) that must be present for the rod to be at equilibrium. Fx=?N c.There is a vertical force from a component of the tension, but this is not enough to balance the…

A shape that covers an area A and has a uniform height h has a volume V= ah Show that v= ah is dimensionally correct.