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A point moves in the plane xy according to the law x = = a sin cot, y = a (1 - cos wt), where a and co are positive constants. Find:
(a) the distance s traversed by the point during the time T;
(b) the angle between the point's velocity and acceleration vectors.
Two carts A and B of equal mass mA = mB = 0.622 kg are on an air track. Cart A is moving with speed vi = 0.95 m/s towards cart B which is at rest. What is the work done by non-conservative forces
A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. What is the mass of the wheel
Three forces are acting on the origin. F1 has a magnitude of 70 N and is 30 degrees north of east. F2 has a magnitude of 70 N and is 30 degrees north of west. F3 has a magnitude of 70 N and is along the south direction. Find the resultant force ac..
A 1.5 x 103-kg car is pulled horizontally by a tow truck. The tension in the tow rope is 2.1 x 103N, and a 1.8 x 102 N friction force opposes the motion. If the car starts from rest, what is its speed after 5.0 s
Find the frequency and the tension in the thinner string if it is to produce a note which is 3 octaves above the fundamental note of the thicker string.
A 5.0-g mass if sandwiched between two springs with spring constant k1 aand k2. The mass is didplaced 10 cm from its equilibrium position and makes sixteen complete oscillations in 1 s with no loss of mechanical energy.
A simple pendulum has a mass of 0.250kg and a length of 4.00 m. It is displacedthrough an angle of 11.0° and then released. Solve this problem by using the simple harmonic motion model for the motion of the pendulum.
A 350 g air track cart on a horizontal air track(no friction) is attached to a string that goes over a pulley with a moment of inertia of 6.00*10^6 kg.m^2 and radius of 1.35 cm. find the tension in the string between the pulley and the cart
The secondary coil of a transformer provides the voltage that operates a small radio. The turns ratio of the transformer is 60.0/1 (primary/secondary). The primary coil is plugged into a 120.0 V outlet. If the current in the secondary is 4.00 mA, fin..
A projectile is shot at an angle of 60 degrees to the horizontal near the surface of the earth but in the absence of air resistance. The initial launch speed of the projectile is what
The speed of light in a material A is 1.4 times as large as it is in material B. What is the ratio of the refractive indices, nA/nB, of these materials
A tube of radius 5 cm is connected to tube of radius 1 cm as shown above. Water is forced through the tube at a rate of 10 liters/min. What is the velocity of the water in the 5 cm radius tube
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