A slender rod is 90.0 cm long and has mass 0.120 kg. A small 0.0200 kg sphere is welded to one end of the rod, and a small 0.0400 kg sphere is welded to the other end. The rod, pivoting about a stationary, frictionless axis at its center, is held horizontal and released from rest. What is the linear speed of the 0.0400 kgkg sphere as its passes through its lowest point?

A large door is a uniform rectangle, with height h and width w and mass m, which is free to rotate about one long side. What is the smallest force required to open the door with constant angular acceleration a? Parameters: h = 2.70 m; w = 1.30 m; m = 50 kg; a = 0.30 rad/s^2. (in N) OA: 0.883 OB: 1.174 OC: 1.562 OD: 2.077 OE: 2.763 OF: 3.675 OG: 4.887 OH: 6.500

A 20cm radius turn-table is turning with a constant angular speed ω0=33rev/min .  The turn-table has a moment of inertia I=5.0kg(cm)2 relative to the axis through its center.  Call this central axis the z-axis.  A piece of sticky gum with mass m=50g falls straight down on the turn-table and sticks at a distance of 10cm from the center. What are the forces the tact on the system after the gum falls on the turn-table? Group of answer choices Weight of turn-table, Normal force on the turn-table, Weight of gum Weight of turn-table, Normal force on the turn-table, Weight of gum, Normal force on gum Weight of turn-table, Weight of gum Weight of gum   What can you say about the net torque relative to the axis of rotation, after the gum falls on the turn-table?   Group of answer choices there is a torque of 0.049 kg m2/s2, in the z direction there is a torque of 0.098 kg m2/s2, in the z direction there is no net torque in the z direction   What is the angular momentum…

A playground merry-go-round of radius R = 2.20 m has a moment of inertia I = 230 kg · m2 and is rotating at 8.0 rev/min about a frictionless vertical axle. Facing the axle, a 26.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round (in rev/min)?