4. problem 4. The mass m is hanging from a cord attached to the circular homogeneous...
2. The homogeneous cylinder has a mass m and a radius R. It is placed on the cart and restrained by the cord. The coefficient of friction between the cylinder and the cart is Hs. Determine the largest acceleration a of the cart for which the cylinder does not slide. Solution: a = 24sg Cord
A mass weighing 96 lb is attached to a spring hanging from the ceiling and comes to rest at its equilibrium position. At time t = 0, an external force of F(t) = 3 cos 3t lb is applied to the system. If the spring constant is 15 lb/ft and the damping constant is 4 lb-sec/ft, find the steady-state solution for the system. Use g = 32 ft /sec. The steady-state solution is y(t) = | |
A counterweight of mass m = 4.90 kg is attached to a
light cord that is wound around a pulley as shown in the figure
below. The pulley is a thin hoop of radius R = 7.00 cm and
mass M = 2.50 kg. The spokes have negligible mass.
(a) What is the net torque on the system about the axle of the
pulley?
magnitude
direction
to the right along the axis of rotation to the left along the
axis...
A block of mass m is hanging from a cord that is wrapped around a pulley with radius R and moment of inertia I. When the block is released from rest, the pulley will rotate counterclockwise. Part A Solve for the acceleration of the block (your answer can include m,g,R, and I) Part B Draw a free body diagram showing the forces that act on the block Part C What happens to the acceleration of the block if the moment...
A bucket of mass m is hanging from the free end of a rope whose other end is wrapped around a drum (radius R, mass M) that can rotate with negligible friction about a stationary horizontal axis. The drum is not a uniform cylinder and has unknown moment of inertia. When you release the bucket from rest, you find that it has a downward acceleration of magnitude (a). What is the tension in the cable between the drum and the...
20.) A circular disc of mass M =500 gm and radius R = 20 cm is rotating about an axis perpendicular to it and passing through its centre. The initial angular speed of rotation of the disc is 30 rad/s. A bug of mass m = 25 gm which was originally on the disc at the rotating axis crawls outward and stops when it is 5 cm from the rim of the disc Calculate the new speed of rotation of...
A block of mass m = 2.50 kg is hanging from a massless cord that is wrapped around a pulley (mass = 4.50 kg) as shown in the figure. The cord does not slip relative to the pulley as the block falls. Find the magnitude of the acceleration of the hanging mass. (moment of inertia of the pulley = ½Mr²)
A textbook of mass 1.92 kg rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.150 m , to a hanging book with mass 2.94 kg . The system is released from rest, and the books are observed to move a distance 1.29 m over a time interval of 0.780 s Part A What is the tension in the part of the cord attached to the textbook? Part B What...
Problem 4 Problem 3 (35): The particle with mass m is initially at equilibrium. The cord is assumed to be taut throughout the motion. The system is critically damped with parameters are m = 4 kg and k = 200 N/m. 7n a) (15) Determine the value of the viscous damping coefficient c. b) (10) If at t -0 the mass m is displaced down the incline by a distance xo -0.2 m from the equilibrium position and released with...
A puck of mass m = 53.0 g is attached to a taut cord passing through a small hole in a frictionless, horizontal surface (see figure below). The puck is initially orbiting with speed V = 1.40 m/s in a circle of radius 1 0.320 m. The cord is then slowly pulled from below, decreasing the radius of the circle to r= 0.140 m. (a) What is the puck's speed at the smaller radius? m/s (b) Find the tension in...