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Velocity

Instantaneous Center of Zero Velocity

See the attached file. The elements of a switching device are shown. If the vertical control rod has a downward velocity of V = 3 ft/sec when phi = 60 degrees, and if roller A is in continuous contact with the horizontal surface determine the magnitude of velocity of C for this instant using the method of "instantaneous cen

Birefringent materials

What is meant by the optic axis of a uniaxial birefringent crystal? Could you please describe and explain how birefringent materials may be used to produce linearly and circularly polarized light from unpolarized light? Thank you.

Projectile motion

Please see the attached file. 1. A rocket is launched at an angle of 53.0° above the horizontal with an initial speed of 100 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 30.0 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile. Find (a) the max

Flywheel Kinematics

A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a constant angular acceleration alpha. The flywheel is assumed to be stationary at time t = 0 in Parts A, B, and C of this problem. a). Find the time t_10 it takes to accelerate the flywheel to 10.0 rps (revolutions per secon

Spring and Projectile of a thrown ball

A child's toy consists of a block that attaches to a table with a suction cup, a spring connected to that block, a ball, and a launching ramp. The spring has a spring constant, k, the ball has a mass, m , and the ramp rises a height, y, above the surface of the table, the surface of which is a height, H, above the ground. Initia

Velocity & Displacement of a Block

A spring of constant k=200N/m is attached between a block of mass 2 kg and a vertical wall.The block rests on a frictionless plane and the COG of the block and the spring are in the same line horizontal to the table. If a constant force of 10N (in the positive x direction) is applied to the spring at t=o when the spring in un

Angular Displacement and Motion d

1. The angular displacement of a human centrifuge, of length 30 ft, is given by (theta)= 4[t + 30*e^(-.03t)-30]radians where t is in seconds and and t=0 is start up. If the passenger loses consciousness at an acceleration of 10g's determine the time this would occur. Verify the tangential acceleration is small compared to

Motion

Hello I need help with the following Physics problems. 9. A train approaches a small town with a constant velocity of +28.6 m/s. The operator applies the brake, reducing the train's velocity to +11.4 m/s. If the average acceleration of the train during brake is -1.35 m/s^2. For what elapsed time does the operator apply the br

Determining Magnitude of Velocity and Acceleration

See the attached file for diagram. The fixed horizontal guide carries a pin P whose motion is controlled by the rotating slotted arm OA. If the arm is revolving about O at the constant rate of 2 radians/sec (angular velocity)for the for the interval allowed by the horizontal guide determine the magnitudes of the velocity an

Solid mechanics

See attached 1. A 2-lb ball is thrown upward at 30ft/s from an origin 5-ft above the earth's surface. Using for your positive reference a vertical Y axis with its origin at 5ft, DETERMINE FOR THE BALL: a) The maximum height in ft reached b) The elapsed time of flight in seconds until its return to the origin c) Its a

A raindrop is observed at time t=0 when it has mass m and downward velocity u. As it falls under gravity its mass increases by condensation at a constant rate and a resisting force acts on it, proportional to is speed and equal to v when the speed is v. a) Show that d/dt((M^2)v) = (M^2)g where M = m+ t. b) Show that the speed of the raindrop at time t is (g/3 )[m+ t-((m^3)/(m+ t)^2)] + ((m^2)u)/(m+ t)^2

Please see the attached file for full problem description. Provide solution for Q7 only. Q7. A raindrop is observed at time t=0 when it has mass m and downward velocity u. As it falls under gravity its mass increases by condensation at a constant rate and a resisting force acts on it, proportional to is speed and equal

Particle Mass and Speed

Please see attached file for full problem description. A particle whose initial mass is m is projected vertically upwards at time t=0 with speed gT, where T is a constant. At time t its speed is u and its mass has increased to me^(t/T). a) If the added mass is at rest when it is acquired, show that d/dt(mue^(t/T)) = -mge^(t

A rocket is fired vertically upwards with initial speed V and is propelled by ejecting material downwards at a constant rate. To derive the expression for maximum height reached.

(Please refer attachment for detailed problem description) A rocket is fired vertically upwards with initial speed V and is propelled by ejecting material downwards at a constant rate and with a constant speed u relative to the rocket. After a time T the propellant material is exhausted and the rocket still rising. Neglecting

A woman is standing in the ocean, and she notices that after a wave crest passes, five more crests pass in a time of 50.0s. The distance between two successive crests is 32 m. Determine, if possible, the wave's (a) period, (b) frequency, (c) wavelength, (d) speed, and (e) amplitude. If it is not possible to determine any of these quantities, then so state.

A woman is standing in the ocean, and she notices that after a wave crest passes, five more crests pass in a time of 50.0s. The distance between two successive crests is 32 m. Determine, if possible, the wave's (a) period, (b) frequency, (c) wavelength, (d) speed, and (e) amplitude. If it is not possible to determine any of t

Waves on strings

One end of each of two identical strings is attached to a wall. Each string is being pulled tight by someone at the other end. A transverse pulse is sent traveling along one of the strings. A bit later an identical pulse is sent traveling along the other string. What, if anything, can be done to make the second pulse catch u

Kinematics - A small stone falls freely from height h

A small stone falls freely from height h. T seconds later another one is thrown downwards with speed v0, from the same height h. What should be the minimum value of v0 if it is expected that the stones collide in the air? [answer: v0(h, T, g), where g = acceleration of gravity]

Relativistic Physics

A spaceship travels with a speed 0f .6c as it passes Earth. Sometime after passing earth the pilot shoots a laser pulse backward at a speed of 8*10^8 meters/second with respect to the spaceship. What is the speed of the pulse as measured on earth?

Physics Questions

2. A car 3.5 m in length approaches an intersection that is 20 m wide. The light turns yellow when the car's speed is 20 m/s and the front of the car is 50 m from the beginning of the intersection. If the driver steps on the brake, the car slows at -3.8 m/s2. If he instead steps on the gas pedal, the car accelerates at 2.3 m/s2.

Acceleration, Velocity, and Speed

See attached file for full problem description. Acceleration: 1. A car goes from rest to 60 ft/sec in 30 seconds, what was its average acceleration? 2. A rocket accelerates at a rate of 200 m/sec^2 from rest for 20 seconds. What is its final velocity? 3. If the total change in velocity of an object was 50 m/sec for 10 seco

Motion - Velocity and Speed

1. Select the quantity that has changed--velocity or speed-- for a car that travels north at 88 km/h and then turns east while continuing to move at 88km/h. 2. Infer how distance and speed in the motions of clock parts are used to measure time. 3. How can you use a speedometer and a clock to tell how far you've traveled i

Speed, Time and Distance

Direction---Velocity: List the given and unknown values, perform any necessary conversions, write the equation for speed, insert the known values into the equation, and solve. 1. Find the velocity in meters per second of a swimmer who swims exactly 110 m toward the shore in 72 s. 2. Find the velocity in meters per secon

Algebra - calculating velocity

If a rock is thrown upward with an initial velocity of 32 feet per second from the top of a 40-foot building, write the height equation. The formula is s = -16t^2 + v o t + s o.

Vertical Circular Motion

In an automatic clothes drier, a hollow cylinder moves the clothes on a vertical circle (radius r = 0.27 m), as the drawing shows. The appliance is designed so that the clothes tumble gently as they dry. This means that when a piece of clothing reaches an angle of above the horizontal, it loses contact with the wall of the cyli