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A stone of mass 0.60kg is attached to one end of an aluminum wire of length 0.9m and 0.6mm diameter suspended vertically. If the stone is rotated in a horizontal plane in such a way that it makes angle 85° with the vertical what is the increase in length of the wire? (Young's modulus of aluminum=7×10^10Nm,take g=9.8ms, sin85°=0.9962 and cos85°=0.0872
A box is pulled upon a rough inclined plane by an applied force Fa parallel to the plane. Which force does not do work on the box while being pulled up the inclined plane? *
A. Friction
B. Gravitational force
C. Applied force
D. Normal force
1. A wheel started from rest and attained an angular speed of 200 rev/s in 1 minute. Calculate
its angular acceleration assuming it to be constant.
2. A rotating body makes 100 revolutions in 10 seconds. Finds its angular speed.
3. A wheel of radius 0.25 m that starts from rest is given an angular acceleration of 10 rad/s
2
.
Find:
(a) the at of point at its rim,
(b) the ac of this point after 5 seconds, and
(c) the actual acceleration of the wheel.
4. Find the total torque acting on a body when five forces are applied on the following
moment-arms: F1 = 30 N upward at r1 = 2.0 m, F2 = 10 N upward at r2 = 3.0 m, F3 = 50 N
downward at r3 = 2.0 m, F4 = 20 N upward at r4 = 0.5 m and F5 = 25 N downward at r5 = 1.5 m.
The manufacturer of a brand of juice drink claims that the mean content of its product is 210 ml with a standard deviation of 6.7 ml.
What is the probability that a randomly selected sample of the product contains more than or equal to 213 ml?
What is the probability that a sample contains less than 200 ml?
A 4.0-kg block travels around a 0.50-m radius circle with an angular velocity of 12 rad/s. Its angular momentum about the center of the circle is:
a: 12 kg.m2 /s
b. 24 kg.m2 /s
c. 48 kg.m2 /s
d. 6 kg.m2/s
The acceleration of objects on the surface of the moon is only 1/6 of the 9.8 m/s 2. From this fact is it correct to conclude that the mass of the moon is therefore 1/6 the mass of the Earth?
A ball of mass 0.75 kg with speed 25.5 m/s collides with a wall and bounces back with a speed of 15.5 m/s. Consider that the motion is in a straight line or in one dimension.
How much energy is removed from 500.0 g of liquid water when the temperature is lowered by 1.10 deg C? specific heat of water = 4.184j/g
If 30.6 calories are required to vaporize 25g of water, what is the heat of vaporization (in cal/mole) of that substance?
Two sinusoidal waves travel in the same direction with the same amplitude, wavelength, and speed. Their resultant wave function is given by: y(x,t) = Ares sin(kx-ωt+π/4). If Ares = 8 cm, then the amplitude, A, of each of the original sinusoidal waves producing this resultant wave is
