Which of the following must be true for the above system to be at equilibrium? R₂ FR m₂ Om1 = m2 R1m1 = R2m2 OR1m2 = R2m1 O2m1 = R1 m₁

Sand moves without slipping at 6.0 m/sm/s down a conveyer that is tilted at 15∘∘. The sand enters a pipe hhh = 5.0 mm below the end of the conveyer belt, as shown in the figure (Figure 1).

5. Consider a frictionless ice ball with a radius R = 10 m. A box initially at rest begins to slip from the top of the ice ball, and follows the surface until it loses contact. Find the height (with the ground as the reference) of the box at the moment it leaves the surface of the ice ball. [Hint: on the verge of losing contact the normal force on the box from the ice ball becomes zero].

A uniform bar has a length of 1m, and a mass of 5kg. If a 10 kg mass is attached to one end of the bar (at x=0), and a 30 kg mass is attached to the other end (at x=1m). The center of mass is closest to which point? x=0m x=0.3 m x=0.33 m x=0.5m x=0.67 m x=0.70 m x=1.00 m

let's consider the three atoms composing the molecule have different masses and coordinate, while the axis of rotation is still y-axis. The first atom has a mass of 8.61 kg, with x coordinate at 3.063 m and y coordinate at 3.826 m. The second atom has a mass of 63.048 kg, with x coordinate at 87.738 m and y coordinate at 51.326 m. The third atom has a mass of 26.317 kg, with x coordinate at 42.334 m and y coordinate at 23.115 m. What is the moment of inertia in the unit of kg m2 with respect to the y axis?

There are more than 300 species of hummingbirds in the world and about 10 species regularly breed in the United States. One of which is the Ruby-throated Hmmingbird who can flap its wings with an angular speed of 332 rad/s. Calculate the period of its flapping motion.

An 1500 kg automobile has springs with k = 1.4×104 N/m. One of the tires is not properly balanced; it has a little extra mass on one side compared to the other, causing the car to shake at certain speeds. Part A If the tire radius is 42 cm, at what speed will the wheel shake most? Express your answer using two significant figures. VΞΑΣΦ V = Submit Request Answer ? m/s

m1 m ₁g x1 x2 m2 m₂8 Example The system is in static equilibrium. Find m₂ if: T = Fr sin 0 τ m₁ = 4kg x₁ = 25cm x₂ = 60cm X2