Ok, I redid the problem considering, like you said, the kinetic energy of both linear and rotational movement.
so,
(0.5)(9.81)(0.81) = (1/2)(0.5)(0.075^2)(w^2) + (1/2)(0.001125)w^2 ---> w=44.68 rad/sec.
and velocity when the ball leaves the table is 5.147m/s
and d = 2.75meters
right?
1) Give the conditions for the equilibrium of an extended object.
An extended object is at equilibrium when no force is acting on it.
2) A uniform ladder of length 6.0m and mass 12.0kg is placed against a smooth vertical wall. The ground is rough.
a) Calculate the force on the ladder...
A solid sphere of diameter 0.15m and mass 0.5kg is released and rolls without slipping down the ramp. The ramp is 0.81m high and is on a table. The table has a height of 1.40 meters. The balls move freely once it leaves the table.
a) What is the moment of inertia of the ball about the axis of...
HELP:Volume generated("shell")
Find the volume generated when the region bounded by the graph of
f(x) = 4x^2
and the graph of
H(x) = 4
is rotated around the line y = -1
How do I solve this? How do I know if, when rotated, if the solid form a "shell" or a disc, or a washer?
1) Find the area of the region bounded by the graphs of
f(x) = x^2 - 5x + 3
and
H(x) = -x
Is H(x) an antiderivative? how do I solve this?
2) Find the area of the region bounded by the graphs of
x - y^2 + 2y + 4 = 2
and
2y - 2 - x = 0
so, x = y^2 - 2y - 2 and x = 2y - 2
I...
A man standing by a rail track, hears the whistle of a train at a frequency of 10419.7 Hertz. The train is moving towards the man at a speed of 39.9 meters/sec. The frequency of the whistle (in Hertz) is
Student response 9207.612
Correct answer 9164.147
frequency heard by the man =...
1) The fundamental of a guitar string whose ends are a distance 0.55m apart has a frequency 283.23 Hertz. If the linear density of the string is 0.01 kG/meter, the tension of the string (in Newtons) is
T=f^2 * linear density * wavelength^2
f=283.23
linear density = 0.01
how do find the...
1) A cable made from a metal of density 8850 kG/cubic meter, and whose cross sectional area is 9.6 cubic mm is pulled to a stress of 103.4 Newtons. One end of the string is oscillated with a frequency 480.1 Hertz. The wavelength of the wave on the string (in meters) is
T=f^2 * linear mass...
1) An airplane caught in a storm, is forced into a vertical periodic motion of period 30.2 seconds and amplitude 17.1 meters. The maximum force (in Newtons) acting on a passenger of mass {M} kG is?
T=2pi/[sqrt of (max a*gravity)/A)] ---> max a = 0.07545 m/s^2 and F=ma but the mass of the...
I'm sure the answers that I got were wrong because I worked out other similar problems (same problem but with different numbers) with the same method and still got it wrong.
A solid ball of radius 0.4 meters, made from a material of density 1.7 kG/cubic meter, rolls along a rough horizontal plane with a speed of 11.1 meters/sec. What is its angular momentum (in Joule.secs)?
density = mass/volume and volume of a sphere = (4/3)(pi)(r)^3
so the mass is 0.4557kg...
1) A plank of mass 2.5 kg and length 2 meters is resting horizontally on two wedges. The first is at one of the ends and the other is a distance 0.3 meters from the second end. If a mass of 0.2 kg is placed on this second edge, what is the force (in Newtons) acting on the second wedge.
Here's...
Cyclovenom, you said that the center of mass (center of gravity) for an uniform rod is half its length;so, the weight of the plank will act on its center of gravity. That means that the axis of rotation is at the center of mass and r is the distance from the axis of rotation.
So,
T1 =...
still getting the wrong answer :frown:
T1 = F1(0)
T2 = F2(2.3)
T3 = -Mg(0.9)
T4 = -mg(2.3)
(T is torque, M is mass of box, m is mass of plank)
sum of T = F1(0) + F2(2.3) - Mg(0.9) - mg(2.3) = 0
F2 = Mg(0.9) + mg(2.3) - F1(0)
F2(2.3) = (108.4*9.81*0.9) + (5.6*9.81*2.3) + 0
so, the...
1) A simple pendulum consist of a mass m tied to a string (considered massless) of length L. So would a baseball bat suspended from one end, swinging back and forth, make a simple pendulum?
No, right? because the "string" in this case is not massless. Does the string that is swinging the...
1) Two men are carrying a uniform plank of mass 5.6 kg and length 2.3 meters. A box of mass 108.4 kg is placed a distance 0.9 meters from the first man. Find the force applied by the second man.
Here what I did:
first man = force 1, second man force 2
F1 + F2 - mg = 0
F1 = (1.4)(5.6)(9.81)...
HELP:Questions about sperm and egg
I have some questions I couldn't find the answer to, please help, thanks.
1) What is the importance of the size differences between sperm and an egg?
2) Why is the sperm development complete while still attached to the cytosol?
3) What are the...
A bullet of mass 0.11 kg and moving along the horizontal direction with a speed 1129.8 meters/sec hits a wooden block of mass 12.7 kg and gets embedded in it. Find the impulse acting on the block in meters/sec.
Here's what I did:
initial momentum = (0.11*1129.8) + (12.7*0) = 124.278
final...
A man of mass 83.8 kg stands on top of a uniform ladder whose mass is 11 kg and whose length is 8.7 meters. Find the distance (in meters) from the base of the ladder to the center of mass.
Here's what I did:
X(center of mass) = (83.8*8.7) + (11*0) / (83.8+11)
= 7.69meters
but the...
Can someone please help me on how to solve this problem?
Two disks, A and B, are cemented together rotating with angular velocity a . The radius of the small disk B is 2/3 the radius of the larger disk A.
a) Calculate the ratio of the tangential velocity of a point on the rim of disk A to...
A hemispherical dome with radius 48 feet will be given a coat of paint 0.07 inches thick. Use differentials to estimate the number of gallons of paint that will be needed to paint the dome.
Here's what I did:
f(x+h) = f '(x)h + f(x) and v=4/3pi*r^3; r=48ft.
volume of the dome...
I got the value of c=18 and the question asks to find all numbers c in the interval (2,3). Also, I entered 18 as the answer to this problem and I got it wrong. :confused:
Calculus Help: Mean Value Theorem
Let
f(x) = x^3 - x
on the interval [2,3]. Find all numbers c in the interval (2,3) that satisfy the conclusion of the mean-value theorem.
Here's what I did:
f '(c) = f(b) - f(a) / (b - a)
f '(c) = f(3^3 - 3) - f(2^3 - 2) / (3-2)
= 18, but it's...
Find the minimum distance from the point where x = 20 along the x-axis to the curve given by:
y= 3 * square root of (x-15)
My prof. has not gone over this yet, so can someone help me?
A golfer misjudges a putt, sending the ball a fraction 0.67 of the distance to the hole. If the force of resistance due to the grass is constant, by what fraction should he increase the speed to make the putt?
I have no clue how to do this type of problem. Someone please help. Thanks
Suppose that a projectile marble and target marble do not collide with their centers of mass equidistant from the floor. What problems in analyzing this experiment are caused by this non-ideal collision?
(I could not find anything on non-ideal collision in my textbook.)
1) If you dropped a steel marble onto a steel plate and then dropped a steel marble onto a glass plate, which would you expect to bounce higher? Why?
2) Suppose that a projectile marble and target marble do not collide with their centers of mass equidistant from the floor. What problems in...
There is a 0.8m long, 1.2 iron bar with a string attached to the center, making a 35 degree angle (from the bar). Calculate the torque produced by the tension in the string. A pivot at one end holds the bar, and the string is attached at the bar's center, which is the center of mass.
I'm...
I can't seem to find the f ' (x) of the following:
1) f(x) = -2x - ((128)/(x+9))
2) f(x) = (x+4)^2 (x-10)^3
(Find the number x at which the function f(x) = (x+4)^2 (x-10)^3 takes on an absolute minimum on the interval 4 < x < 10 (note: < means greater than or equal to )