The board shown is at a complete static equilibrium as it rests on the two pivots A and B, which are 4 m apart. A 60-kg PHY 105 student walks slowly towards the right end of the board until he feels that the board is about to tip and lose contact with pivot A. At the tipping moment, determine how far (in m) the student is from pivot B. Assume that the length of the board is 6 m and its mass is 90 kg. Floor O 1.0 2.0 0.8 1.5 O 0.5

In 1980, over San Francisco Bay, a large yo-yo was released from a crane. Suppose the yo-yo was 105 kg, and it consisted of two uniform disks of radius 39.6 cm connected by an axle of radius 3.96 cm. What was the magnitude of the acceleration of the yo-yo during (a) its fall and (b) its rise? (c) What was the tension in the cord on which it rolled?

A child's top is held in place upright on a frictionless surface. The axle has a radius of r = 4.21 mm. Two strings are wrapped around the axle, and the top is set spinning by applying T = 3.15 N of constant tension to each string. If it takes 0.440 s for the string to unwind, how much angular momentum L does the top acquire? Assume that the strings do not slip as the tension is applied. L = kg.m² S Point P is located on the outer surface of the top, a distance h = 33.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 = 17.0°. If the final tangential speed v₁ of point P is 1.75 m/s, what is the top's moment of inertia I? I = kg.m² T 2r R 2r P T T

Three small objects are arranged along a uniform rod of mass m and length L: one of mass m at the left end, one of mass m at the center, and one of mass 2m at the right end. How far to the left or right of the rod’s center should you place a support so that the rod with the attached objects will balance there?

i need help with 4 but can you tell me if three is right?

A sanding disk with rotational inertia 5.1 x 10³ kg-m² is attached to an electric drill whose motor delivers a torque of magnitude 38 N-m about the central axis of the disk. About that axis and with torque applied for 33 ms, what is the magnitude of the (a) angular momentum and (b) angular velocity of the disk? (a) Number i Units (b) Number i Units

A meter stick (a uniform thin rod of length 1.0 m and mass 0.39 kg) is placed on a fulcrum at the 54 cm mark, about which the meter stick can pivot. At what position (measured from the 0 cm end of the meter stick) should a 0.22 kg mass be hung to balance the system? Give your answer in cm, rounded to the nearest cm.

A stick is resting on a concrete step with of its total length L hanging over the edge. A single ladybug lands on the end of the stick hanging over the edge, and the stick begins to tip. A moment later, a second, identical ladybug lands on the other end of the stick, which results in the stick coming momentarily to rest at 0 = 56.9° with respect to the horizontal, as shown in the figure. If the mass of each bug is 2.75 times the mass of the stick and the stick is 15.1 cm long, what is the magnitude a of the angular acceleration of the stick at the instant shown? Use g = 9.81 m/s². a = rad/s? Figure is not to scale.

A bicycle wheel is mounted on the wall so that it can spin frictionlessly along a horizontal axle that passes through its center. A ladybug with mass m₁ = 1.4g lands on the rim of the wheel, a distance r₁ = 31 cm from the center of the wheel and at an angle 0₁ = 75° clockwise from the top of the wheel. At the same moment, a bumble bee lands on one of the spokes, a distance r2 = 15 cm from the center of the wheel and at an angle 02 = 12° counterclockwise from the top of the wheel. Suppose that you keep the wheel stationary by applying a horizontal force F = 0.013 N to the bottom of the rim of the wheel (i.e., the same distance from the center as the ladybug). What is the mass m2 of the bumble bee? The symbolic answer should be stated in terms of m1, 1, 01, T2, 02, F, and g, though not all of these quantities may be needed.

A stick is resting on a concrete step with of its total length L hanging over the edge. A single ladybug lands on the end of the stick hanging over the edge, and the stick begins to tip. A moment later, a second, identical ladybug lands on the other end of the stick, which results in the stick coming momentarily to rest at 0 = 56.9° with respect to the horizontal, as shown in the figure. If the mass of each bug is 2.75 times the mass of the stick and the stick is 13.9 cm long, what is the magnitude of the angular acceleration a of the stick at the instant shown? α = rad/s² Figure is not to scale.