A 5 lbf weight is suspended from a vertical spring having a stiffness k = 50 lb/ft. An impressed force F = 0.25 sin 8t Ib where t is in seconds is acting on the weight. Determine the equation of motion of the weight when it is pulled down 3 inches from the equilibrium position and released from rest.

Figure shows a system of cylinder (m = 55 kg) and a load (m = 62 kg) connected through a rope. The system is released from rest and the load L moves along the inclined surface. The kinetic coefficient of friction between the load and the inclined surface is 0.22. The radius of gyration of the cylinder is 0.8 m. Take d1 = 0.5 m, d2 = 1.4 m, and a = 66°. Determine the angular velocity of the cylinder after the load L slides 1.6 m on the inclined surface. d2 d1 C The angular velocity of the cylinder is, [rad/s].

Pravinbhai

3. A 5-kg crate is released from rest at Point A of a 20-kg ramp which is inclined at 40 degrees as shown in the figure below. The lengths of the ramp is 2 m. The interface between the ramp and the ground can be assumed to be frictionless. Use Newton's 2nd Law and the definition of the center of mass to determine the horizontal distance that the ramp has moved when the crate reaches Point B. Neglect the size of the crate. Does your answer depend on the frictional force between the crate and the ramp? e S

The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (8) The mass moment of inertial about the mass center G is IG =_________(kg·m2 ) (two decimal places)

! Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Two uniform cylinders, each of mass m = 7.5 kg and radius r= 125 mm, are connected by a belt as shown. The system is released from rest when t = 0. B Determine the tension in the portion of belt connecting the two cylinders. The tension in the portion of belt connecting the two cylinders is P=[ N.

Dynmaic i need help solving the second part

Please and thank

The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. Ignore the spring's mass. (5)  At state 2, how long the spring is stretched from its unstretched state (length difference):________(m) (two decimal places) (6) The elastic potential energy of the spring at the state 2 is_______(N·m) (two decimal places)  (7) The instantaneous center of zero velocity (IC) of the wheel at state 1 is (8) The mass moment of inertial of the wheel about its mass center G is IG =_________(kg·m2 ) (two decimal places) (9) The mass moment of inertial of the wheel about its…

The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (1) If the mass center G is set as the origin (datum), the gravitational potential energy at the state 1 is___  (two decimal places) (2) If the mass center G is set as the origin (datum), the gravitational potential energy at the state 2 is___  (two decimal places) (3) The stretched spring length of the spring at the state 1 is________(m) (two decimal places) (4) The elastic potential energy at the potion 1 is_______(N·m) (two decimal places) (5) The stretched spring length of the spring at the…