A diver off the high board imparts an initial rotation with his body fully extended before going into a tuck and executing three back somersaults before hitting the water. His moment of inertia before the tuck is 16.9 kgm^2, and after the tuck while doing somersaults is 4.2 kgm^2. He takes 1.4 s to execute the somersaults before hitting the water. What is his angular momentum during the dive? (Give your answer in Nm s.) Your Answer: Answer units
B2. A pulley is suspended above a table. Particle A (mass 5 kg) is connected to particle B (mass 3 kg) with string 1 over the pulley. Particle C is attached to the bottom of particle B by string 2. Both strings are light, inextensible and sufficiently long that at no point will the particles collide with each other or the pulley. (b) When particle C reaches the table, it collides inelastically with it and string 2 goes slack. iii. Calculate the speed of the three blocks just after string 2 becomes taut again. (c) Eventually, the pulley system comes to rest with particle C resting on the table. In total, how much energy has the system lost to its surroundings since it was originally at rest with particle C 55 cm above the table?
A certain electric dipole is placed in a uniform electric field of magnitude 59 N/C. The figure gives the magnitude τ of the torque on the dipole versus the angle θ between field and the dipole moment P→. The vertical axis scale is set by τs = 114×10−28 N⋅m. What is the magnitude of P→? Number Units
The block shown in the figure below is being pulled on by a rope and pulley system. A force of P is applied to the end of the rope. The angles are given as: α (alpha) = 26 (deg), and β (beta) = 9 (deg). The block has a mass, m = 28(kg). The coefficient of kinetic friction, μk = 0.27. Find the force P, which is required to give the block a steady upward acceleration of 3.2 (m/s2). Express your answer in Newtons.