A 3-kg sphere moves in the x-y plane and has the velocity shown at this instant. What is the a. Kinetic energy of the sphere b. Momentum, or linear momentum, of the sphere Angular momentum about point O of the sphere c.

Velocity of C relative to D isn't 0 since block C slides along member DE, while member DE rotates, and you didn't use the formula for rotating axis

As shown in the picture below, a 40-kg diver is positioned so that his radius of gyration is 0.4m as he leaves the board with an angular velocity of 5 rad/s (Position 1). What is the diver's angular velocity when he changes his pose to Position2, altering his radius of gyration to 0.2m? Position 1 Position 2 CAR

I Suppose an autonomous surface vessel (ASV) traveling with velocity TvG/O= vi₁ begins to make a turn by adjusting the thrust of its left and right thrusters, TA and TB, respectively. The center of mass of the ASV is located at G and the ASV is symmetric about its vertical axis. The ASV also experiences a drag force that is proportional to its speed and opposes its velocity. At the instant shown, the drag force is D = -kvi₁ where k is a drag coefficient. 1. To model the mass moment of inertia, approximate the ASV as consisting of three rigid bodies: a flat plate as a center body of mass 6m and two slender rods housing the propulsion assemblies, each of mass m, at the outboard sides of the vehicle. Determine the mass moment of inertia, IG, about the vertical axis passing through the center of mass G. (Hint: Use the parallel axis theorem.) 2. At the instant shown, determine the inertial acceleration vector ac/o = axi₁ + ayi2 of the center of mass and the angular acceleration a of the…

A weight of mass m is at rest at 0 when suspended from a spring, as shown. When it is pulled down and released, it oscillates between positions A and B. Which statement about the system consisting of the spring and the mass is correct? (Check ALL that apply) -B O The gravitational potential energy of the system is greatest at A. O The elastic potential energy of the system is greatest at O. O The kinetic energy of the system is greatest at 0. O The gravitational potential energy is smallest at O. O The elastic potential energy is smallest at 0.

A snooker ball x collides head-on with another snooker ball y moving in the opposite direction. Which of the following statement below is the correct statement of the conservation of momentum? The total momentum in the x and y 5. A. directions stay constant. The initial and final momenta of x is the B. same. The sum of the x and y components of C the momentum is zero. The final momentum of x is the same as D the final momentum of y.

3/65 A pilot flies an airplane at a constant speed of 600 km/h in the vertical circle of radius 1000 m. Calcu- late the force exerted by the seat on the 90-kg pilot at point A and at point B. B 1000 m A 600 km/h

3. Express the kinetic energy of each of the systems and determine the number of degrees of freedom of each system in terms of the specified generalized coordinates. Slender bar of mass m Slender bar of mass m To (a) (c)

4. A loading car is at rest on a track forming an angle of 25° with the vertical when a force is applied to the cable attached at C. The gross weight of the car and its load is 5465 lb WG, and it acts at point G. Know the tension in the cable connected at C is 5000 Ib Tc. Neglect friction between the car and the track. Determine how far the car travels in 15 seconds. Model this as a particle at G. 24 in. B 25 in. 30 in. 25 in.

Hi, how do you solve this question?