Spinning on vertical and horizontal planes: Data Radius 3m: Weight: 50 kg, Stren

Question

Spinning on vertical and horizontal planes: Data Radius 3m: Weight: 50 kg, Strength of rope: 1000 kg. Required: RPM at which the rope breaks in both cases Compound curve on road Data: Straight section followed by 1000 feet radius curve followed by 500 feet radius curve Weight of vehicle: 500 lb; Banking on curve 5 degree Friction 0.3 Required: Speed limits on straight, and on curved sections in mph Rolling on a rough incline Data: Angle: 45 degree: length: 1000 m. Weight: 100 kg. Friction 0.3, distance upon impact 2 cm. Required: For three points along the incline, top, middle, and bottom wall Velocity, acceleration, PE, KE, Momentum, Impact force, and work done. Trajectory of a projectile Data: Horizontal ground, Height of target. 30m Distance of projectile on ground from target: 30 m. Height of projectile: 3 m Weight of projectile: 5 kg The rest can be assumed if needed. Required: Launching data Bonus: Discuss. Can pool be played on frictionless table with glass balls

Explanation / Answer

Here, we assume angle of projectile thrown = 60 degree

=>    usin60 * t - 1/2gt2 = 30

=> ucos60 * t = 30

=>    30 + 1/2gt2   = 30 * tan60

=>    30 + 1/2gt2   =   51.96

=>    t =   2.117   sec               -------------------->    time taken by projectile to hit target

=>    velocity with which projectile thrown = 30/(cos60 * 2.117)

                                                                     = 28.342   m/sec

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