A homogeneous cylinder with mass m_1 = 1000 kg and radius R = 0.05 m is...
A mass m_1 = 9.00 kg is connected by a light string that passes over a pulley of mass M = 13.5 kg to a mass m_2 = 12.0 kg sliding on a horizontal frictionless surface (sec figure). There is no slippage between the string and the pulley. What is the magnitude of the tension that is acting on mass m_1? (The moment of inertia of the pulley is 1/2Mr^2.)
In the figure below, the hanging object has a mass of m_1 = 0.400 kg; the sliding block has a mass of m_2 = 0.770 kg; and the pulley is a hollow cylinder with a mass of M = 0.350 kg, an inner radius of R_1 = 0.020 0 m, and an cuter radius of R_3 = 0.030 0 m. Assume the mass of the spokes is negligible. The coefficient of kinetic friction between the block and the horizontal surface...
A block of mass m_1 = 1.80 kg moving at v_1 = 2.00 m/s undergoes a completely inelastic collision with a stationary block of mass m_2 = 0.300 kg. The blocks then move, stuck together, at speed v_2. After a short time, the two-block system collides inelastically with a third block, of mass m_3 = 2.20 kg, which is initially at rest. The three blocks then move, stuck together, with speed v_3. (Figure 1) Assume that the blocks slide without...
Referring to the figure above, answer the following questions: A particle of mass m_1 = 1.000 kg moves at speed nu_1 = 0.500 m/s. It collides with a particle of mass m_2 = 2.000 kg at rest. a. What is the total momentum of the system in the x direction before the collision? Answer: b. What is the total momentum of the system in the y direction before the collision? Answer: After the collision, m_1 moves with speed nu_3 at...
In the figure, a crate of mass m = 76 kg is pushed at a constant speed up a frictionless ramp (theta = 29 degree) by a horizontal force F. The positive direction of an x axis is up the ramp, and the positive direction of a y axis is perpendicular to the ramp. What is the magnitude of F ? What is the magnitude of the normal force on the crate?
A mass m = 4.300 kg is suspended from a string of length L = 1.290 m. It revolves in a horizontal circle (see Figure). The tangential speed of the mass is 3.743 m/s. What is the angle theta between the string and the vertical (in degrees)?
A ball of mass M = 1.40 kg and radius r = 4.70 cm is attached to one end of a thin, cylindrical rod of length L = 12.0 cm and mass m = 0.880 kg. The ball and rod, initially at rest in a vertical position and free to rotate around the axis shown in the figure below, are nudged into motion. M m (a) What is the rotational kinetic energy of the system when the ball and rod...
The Figure below shows a homogeneous cylinder of radius R and mass m. Assuming that the cylinder rolls on a rough surface without sliding, derive the equations of motion using the energy conservation approach, and determine the natural frequency. 179
2. [2pt] A mass m = 9.100 kg is suspended from a string of length L = 1.210 m. It revolves in a horizontal circle (see Figure). The tangential speed of the mass is 3.089 m/s. What is the angle theta between the string and the vertical (in degrees)? Answer: Submit All Answers
A solid, horizontal cylinder of mass 11.0 kg and radius 1.00 m rotates with an angular speed of 5.50 rad/s about a fixed vertical axis through its center. A 0.250-kg piece of putty is dropped vertically onto the cylinder at a point 0.900 m from the center of rotation and sticks to the cylinder. Determine the final angular speed of the system.