Question

In: Civil Engineering

A 30-kg uniform circular plate of radius r is supported by a ball-and-socket joint at point...

A 30-kg uniform circular plate of radius r is supported by a ball-and-socket joint at point A and is at rest in the vertical xy plane when a bullet with a mass of 15g is fired with the velocity Vo = (-210m/s)k and hits the plate at point C. Knowing that r = 400 mm and h = 700 mm, determine (a) the angular velocity of the plate immediately after the bullet becomes embedded (b) the impulsive reaction at point A, assuming that the bullet becomes embedded in 1.1 ms

Solutions

Expert Solution



Related Solutions

A metallic circular plate with radius r is fixed to a tabletop. An identical circular plate...
A metallic circular plate with radius r is fixed to a tabletop. An identical circular plate supported from above by a cable is fixed in place a distance dd above the first plate. Assume that dd is much smaller than r. The two plates are attached by wires to a battery that supplies voltage V. 1) What is the tension in the cable? Neglect the weight of the plate. Express your answer in terms of the variables d, r, V,...
A uniform solid ball of m=4.0 kg and radius r rolls smoothly down a ramp. The...
A uniform solid ball of m=4.0 kg and radius r rolls smoothly down a ramp. The ball starts from rest. The ball descends a vertical height of 6.0 m to reach the bottom of the ramp. What is its speed at the bottom?
A flywheel comprises a uniform circular disk with a mass of 97.0 kg and a radius...
A flywheel comprises a uniform circular disk with a mass of 97.0 kg and a radius of 1.1 m. It rotates with an angular velocity of 1420 rev/min. A constant tangential force is applied at a radial distance of 0.5 m. What is the initial kinetic energy of the wheel? (b) If the wheel is brought to rest in 133.0 s, what is the tangential force?
A uniform magnetic field B is directed into the page. A circular circuit of radius r...
A uniform magnetic field B is directed into the page. A circular circuit of radius r containing a resistor R and a capacitor C, is placed in this field. Initially the capacitor is uncharged, and at time t = 0, the magnitude of the magnetic field starts to change at a rate dB/dt = x, x > 0. a) Using Lenz’s law, determine the direction of the induced current in the closed loop. Justify your answer. b) Calculate the induced...
Suppose that a parallel-plate capacitor has circular plates with radius R = 18 mm and a...
Suppose that a parallel-plate capacitor has circular plates with radius R = 18 mm and a plate separation of 3.6 mm. suppose also that a sinusoidal potential difference with a maximum value of 153 V and a frequency of 60 Hz is applied across the plates: that is, V = (153 V) sin[2 ?(60 Hz)t] Find Bmax, the maximum value of the induced magnetic that occurs at r = R.
Suppose that a parallel-plate capacitor has circular plates with radius R = 60.0 mm and a...
Suppose that a parallel-plate capacitor has circular plates with radius R = 60.0 mm and a plate separation of 4.6 mm. Suppose also that a sinusoidal potential difference with a maximum value of 360 V and a frequency of 120 Hz is applied across the plates; that is V=(360.0 V)sin((2.*π)*(120 Hz * t)). Find Bmax(R), the maximum value of the induced magnetic field that occurs at r = R. Find B(r = 30.0 mm). Find B(r = 120.0 mm). Find...
Suppose that a parallel-plate capacitor has circular plates with radius R = 28 mm and a...
Suppose that a parallel-plate capacitor has circular plates with radius R = 28 mm and a plate separation of 5.5 mm. Suppose also that a sinusoidal potential difference with a maximum value of 140 V and a frequency of 77 Hz is applied across the plates; that is, V = (140 V) sin[2π(77 Hz)t]. Find Bmax(R), the maximum value of the induced magnetic field that occurs at r = R.
A flat uniform circular disk (radius = 2.90 m, mass = 1.00 ✕ 102 kg) is...
A flat uniform circular disk (radius = 2.90 m, mass = 1.00 ✕ 102 kg) is initially stationary. The disk is free to rotate in the horizontal plane about a frictionless axis perpendicular to the center of the disk. A 40.0 kg person, standing 1.75 m from the axis, begins to run on the disk in a circular path and has a tangential speed of 2.80 m/s relative to the ground. Find the resulting angular speed of the disk (in...
A thin, circular disk of radius R = 30 cm is oriented in the yz-plane with...
A thin, circular disk of radius R = 30 cm is oriented in the yz-plane with its center as the origin. The disk carries a total charge Q = +3 μC distributed uniformly over its surface. Calculate the magnitude of the electric field due to the disk at the point x = 15 cm along the x-axis.
Suppose two circular metallic plates of radius R and separation d forms a parallel plate capacitor....
Suppose two circular metallic plates of radius R and separation d forms a parallel plate capacitor. Let Q be the instantaneous value of charge on either plate and is changing with time. (a) Calculate the Poynting vectorS.(b) How is the net energy flow into the capacitor is related to the rate of change of capacitor energy?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT