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Classical Mechanics
The stiffness of a helical coil spring is given by K = (Gd^4)/(8nD^3) using binomial approximation estimate the change of the rate of steel springs due to change of linear dimension and of the modulus of rigidity from temperature of (i) 20C to 50C (ii) 20C to -50C.
Classical Mechanics
A vaulter is trying to reach a velocity of 7 m/s at the end of
a 14-m runway. How quickly must he accelerate?
a 14-m runway. How quickly must he accelerate?
Classical Mechanics
Hi, The pump raises water to 0.75m^3/min 6.0m deep well and gives the water a speed of 10 m/s. How much power pump motor takes if the operating efficiency is 0.75?
Classical Mechanics
A 2.0-kg cart collides with a 1.0-kg cart that is initially at rest on a low-friction track. After the collision, the 1.0-kg cart moves to the right at 0.45 m/s and the 2.0-kg cart moves to the right at 0.30 m/s .
Classical Mechanics
A delivery truck travels 21 blocks north, 16 blocks east, and 26 blocks south. What is its final displacement from the origin? Assume the blocks are equal length.
Classical Mechanics
A spherical balloon expands when it is taken from the cold outdoors to the inside of a warm house. If its surface area increases 17.4percent002, by what percentage does the radius of the balloon change?
Classical Mechanics
A crate of mass 30.0 kg is pulled by a force of 180 N up an inclined plane which makes an angle of 30º with the horizon. The coefficient of kinetic friction between the plane and the crate is mk = 0.225. If the crates starts from rest, calculate its speed after it has been pulled 15.0 m. Draw the free body diagram.
Classical Mechanics
A wheel 2.0 m in diameter lies in the vertical plane and rotates about its central axis with a constant angular acceleration of 4.0 rad s-2. The wheel starts at rest at t = 0 and the radius vector of a point A on the wheel makes an angle of 60º with the horizontal at this instant. Calculate the angular speed of the wheel, the angular position of the point A and the total acceleration at t = 2.0s.
Classical Mechanics
An airplane is flying from San Francisco to Seattle which is a distance of approximately 1200 km. The cruising speed of the plane (VP) is 400 km/hr relative to the air, and on a calm day (no wind) the pilot would fly on a path, due north, arriving in Seattle exactly 3.0 hours after leaving San Francisco(ignoring the time spent taxiing, taking off, landing etc.). However, today, the wind is blowing due east with a constant velocity (VW) of 50 km/hr relative to the ground, and the pilot has not taken this into account. Without paying attention, the pilot keeps the plane pointed due north for the entire flight.
1.) (3 points) Relative to the ground, in which direction is the plane flying (use theta for angles: θ)? Derive an algebraic solution and then give a numerical answer (three significant figures is fine) expressed in degrees relative to due north (e.g. ’45.0° west of north’).
1.) (3 points) Relative to the ground, in which direction is the plane flying (use theta for angles: θ)? Derive an algebraic solution and then give a numerical answer (three significant figures is fine) expressed in degrees relative to due north (e.g. ’45.0° west of north’).
Classical Mechanics
On straight road, an object starts moving with starting speed at 0 and acceleration of
a=5 m/s^2, then object starts moving with same speed for a time period t . Then object starts slowing down with a=-5 m/s^2 untill it stops moving. Total moving time is 25 s. Medium speed of whole motion is Vsr=72 km/h. How long the object was moving with constant speed? Find that speed.
a=5 m/s^2, then object starts moving with same speed for a time period t . Then object starts slowing down with a=-5 m/s^2 untill it stops moving. Total moving time is 25 s. Medium speed of whole motion is Vsr=72 km/h. How long the object was moving with constant speed? Find that speed.
