Class Time Name Last Name First Name Dept Mae 242 No Exam Ib

Class Time Namelast Name First Name Deptmae 242noexam Ibox No

Class Time Namelast Name First Name Deptmae 242noexam Ibox No

Class time: Name: Last name First name, Dept: MAE 242 No: Exam I Box No. : The angle ï¢ between the horizontal and the direction of trajectory is = The magnitude of the acceleration of the rocket is = The transverse acceleration component is = The angle ï¹ï€ is = ï¢ ru θu r ï± A Trajectory A rocket is tracked by radar from its launching point A. When it is 10 seconds into its flight, the following radar measurements are recorded: 222 , 0.0788 rad/s, 0.0341rad/s .ï± ï± ï±ï€½   ï€ï¯   and For this instant answer the following: 22200 m, 500 m/s, 4.66 m/s .r r r    The “swing ride†shown in the figure rotates at a constant angular velocity. Neglect the mass of the cables and treat the chair and person as one particle, answer the following: The angular velocity for the swings to assume an angle ï±ï€ = 35o is = For 50-kg rider, the force supported by the cable at ï± =35o is = 3.2 m 5 mï± ï· and the acceleration of the rider is = Class time: Name: Last name First name, Dept: MAE 242 No: Exam I Box No. : The 2-lb block P is guided along the vertical circular path using the smooth arm OA. The coefficient of kinetic friction between P and the circular path is 0.17. At the instant ï±ï€ =38o, block P has radial acceleration ar =6.3 ft/s 2 and transverse acceleration aï± = 4.5 ft/s 2. Answer the following: The force that the slotted arm OA exerts on the block is = The force that circular path exerts on the block is = The friction force between the block and the path is = Class time: Name: Last name First name, Dept: MAE 242 No: Exam I Box No. : Beginning from rest when ï± = 20o, a 35-kg child slides with negligible friction down the sliding board which is in the shape of 2.5-m circular arc. Answer the following: The acceleration at at ï± = 50 o is = The velocity of the child at ï± = 50o is = The normal force exerted on the child at ï± = 50o is = Class time: Name: Last name First name, Dept: MAE 242 No: Exam I Box No. : P ï¢ ï± The 56-kg crate is driven up the ï± = 10o incline, via a force P = 345(1+t - 0.5) N, where t is in seconds. Given that the force P is applied at an angle ï¢ = 15o, and that the coefficient of friction between the crate and the incline is 0.25, answer the following: The distance the crate moves in 2 seconds is = The velocity of the crate after 2 seconds is = The normal reaction after 2 seconds is = The crate's acceleration after 2 seconds is = The shown system is released from rest, neglect the masses of the pulleys and the cord; answer the following: Block A acceleration is = The force in the cable attached to block B is = Block B acceleration is = A B 10 kg 20 kg

Paper For Above instruction

The assignment presents a series of classical mechanics problems centered around the analysis of motion, forces, and accelerations of various physical systems, including rockets, swinging rides, blocks, children on slides, and crates on inclined planes. Each problem requires applying fundamental principles of dynamics—such as Newton’s laws, rotational motion, and energy conservation—to determine specific quantities like acceleration, force, velocity, normal reactions, and displacement over time.

The first problem involves analyzing a rocket’s trajectory tracked by radar, requiring calculations of angle, acceleration, and components of motion based on radar measurements, emphasizing kinematics and the analysis of projectile motion in three dimensions.

Next, a swinging ride scenario asks for the determination of angular velocity necessary to reach a specific angle, the tension in the cable supporting the rider, and the rider’s acceleration. These involve circular motion principles, including torque, centripetal force, and tension analysis.

The third problem deals with a block sliding along a circular path with friction, asking for the forces exerted by the arm and the circular path, as well as the friction force, employing static and kinetic friction concepts along with circular motion equations.

A subsequent problem examines a child sliding down a frictionless circular arc, requiring computation of acceleration, velocity, and normal forces at a specific angle, illustrating energy conservation and normal force calculations in curved motion.

The final problem involves a crate being pushed up an inclined plane with a variable force function, with questions about displacement, velocity, normal reaction, and acceleration after a specific time, illustrating concepts of dynamics in incline motion with variable forces.

Additionally, a pulley system with blocks connected by a massless cord is presented, requiring determination of acceleration and tension in the cable, emphasizing Newton’s second law in multi-body systems.

Overall, these varied problems are aimed at testing the application of fundamental mechanics principles—kinematics, dynamics, circular motion, energy conservation—in realistic contexts. Accurate calculation and understanding of forces, accelerations, velocities, and displacements are fundamental to solving these classic physics problems.

References

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