In the Cavendish balance apparatus shown in Figure 13.4 in the textbook, suppose that m1 = 1.50 kg, m2 = 27.0 kg, and the rod connecting each of the pairs of masses is 31.0 cm long. Once the system reaches equilibrium, each pair of masses, m1 and m2, are separated by a distance of 13.0 cm center-to-center. A. Find the magnitude of the net force on one of the small masses, m1. B. Find the gravitational torque (about the rotation axis) on the rotating part of the apparatus. Ignore any forces on the connecting rods in your calculation. C. Suggest some ways to improve the sensitivity of this experiment.

A monkey of mass m = 10.0 kg is holding on to two vines each of length l = 3.00 m. The vines form an angle with the horizontal of 40.0 degrees (see figure). The monkey is not moving and the vines are considered massless and not stretchable.   a. What is the distance d between the mounting points of the vines at the top? b. Draw a free body diagram of the monkey and indicate all forces.

An object that weighs 45 N is on a ramp angled 27 degrees above the horizontal. What is the parallel component of gravity acting on the object? E What is the perpendicular component of gravity acting on the object? What is the normal force the ramp exerts on the object? Check

c

Consider an annular disk rolling down an inclined plane. The annular disk has mass 154 [g], inner radius 8.00 [cm] and outer radius 12.0 [cm]. The inclined plane has a slope that forms an angle of 44.6° with the ground. A.  Suppose that the coefficient of static friction ?s is large enough so that the annular disk rolls without slipping. What is the magnitude of the translation acceleration felt by the annular disk's center of mass in the direction parallel to the slope? B. What is the minimum value that the coefficient of static friction ?s must take so that the annular disk rolls without slipping?

Part A A rocket is at 0.019 of the distance between Earth and the Sun, closer to Earth. What is the ratio between the force on the rocket due to the Sun and the force on the rocket due to Earth? The mass of the Sun is 2.0 × 10³⁰ kg and the mass of Earth is 5.97 × 1024 kg.

2. A 45.0 kg boy is initially seated on the top of a hemispherical ice mound of radius 20.0 m. He begins to slide down the ice, with a negligible initial speed. Assume the ice is frictionless. a. At what height does the boy lose contact with the ice. b. What is acting as a radial force?

Part A, B, and C

Two Blocks having mass m=11.0 kg are connected by a light string passing through two pulleys as shown. The block on the left is resting on an inclined plane of angle 0=45.0° . The pulleys and the planes on which the blocks are resting are frictionless. The blocks are released from rest and allowed to move freely. a. Draw the free body diamgrams for each block and then write down newton's second law of motion for each one separately. b. Find the acceleration of the blocks and the tension in the string.

t Three blocks are connected by massless ropes that move without slipping over frictionless pulleys; the mass of block A is 1.4 kg, the mass of block C is 2.1 kg, and the mass of block B is 6.0 kg. Each pulley can be modeled as a uniformly dense cylinder with a mass of 4.0 kg. What is the magnitude of the tension (in N) in the rope between block A and the pulley? rd A 1 B C Type your answer... Submit