Homework Answers
Add Answer to:
5. A bead of mass m is free to slide on a frictionless wire bent in...
2. A bead of mass m is free to slide along a frictionless wire bent in...
2. A bead of mass m is free to slide along a frictionless wire bent in the curve yx3 where a is a positive constant. The bead starts from rest at x - a and slides under the influence of a constant gravitational field g pointing in the negative y direction. Find the time required for the bead to reach the origin. Express your answer in terms of the constants a and g Hint: Use the energy method. You may...
4. A bead of mass m slides on a frictionless wire bent into the shape of...
4. A bead of mass m slides on a frictionless wire bent into the shape of a parabola 2 yd as shown above. Gravity acts in the negative y direction. A spring with elastic constant k and rest length d/2 connects the bead to a fixed anchor at the point (0, -d). Find the frequency of small oscillations about equilibrium. Hint: Find the potential energy Uof the bead. Then expand Uin series, keeping only the leading x2 term, to obtain...
A frictionless wire is bent into the shape of a cycloid curve, with coordinates given by...
A frictionless wire is bent into the shape of a cycloid curve,
with coordinates given by the parametric equations
? = ?(? + sin ?), ? = ?(1 − cos ?), for −? < ? < ?. The x
axis is horizontal, and y is vertically upwards. A bead of
mass m slides freely on the wire. Show that the distance s,
measured along the wire from the origin, is given by
? = 4? sin. Write out the potential...
1. A small bead is free to slide without friction on a rotating wire. The angular...
1. A small bead is free to slide without friction on a rotating wire. The angular speed of the wire is w. In the coordinate system that rotates with the wire, there will be fictitious Coriolis and centrifugal forces, in addition to the real normal force the wire exerts on the bead. Working in this rotating coordinate system, (a) Draw the force diagram, including the fictitious forces. Write down the F=ma equations for the directions parallel and perpendicular to the...
A single bead of mass m can slide with negligible friction on a stiff wire that...
A single bead of mass m can slide with negligible friction on a stiff wire that has been bent into a circular loop of radius R = 0.155m. The circle is always in a vertical plane and rotates steadily about its vertical diameter with a period of T = 0.420s. The position of the bead is described by the angle (theta) that the radial line, from the center of the loop to the bead, makes with the vertical. Hint: The...
A bead of mass m slides along a frictionless wire under the influence of gravity. The...
A bead of mass m slides along a frictionless wire under the influence of gravity. The shape of the wire is given by the equation y = axa, where x denotes the horizontal co-ordinate, y denotes the vertical co-ordinate, and a is a constant. (a) Use Lagrange's equation to determine the equation of motion. (b) Compute Hamilton's equations of motion and show that they are equivalent to your result for item (a).
A small bead with a mass m = 15.0 g slides along the frictionless wire form...
A small bead with a mass m = 15.0 g slides along the
frictionless wire form shown in the figure. The three heights
hA = 7.70 m, hB = 5.50 m,
and hC = 2.90 m are all measured from the
floor. The bead is released from rest at point A.
a) What is the speed of the bead at points B and C?
vB
= ____ m/s
vC
= ____ m/s
(b) What is the net work done on...
I need to rescale (4) from the first page to the equation on the second page. 2.[60pts.] A bead of mass m is constrained to slide along a straight rigid horizontal wire. A spring with natural len...
I
need to rescale (4) from the first page to the equation on the
second page.
2.[60pts.] A bead of mass m is constrained to slide along a straight rigid horizontal wire. A spring with natural length Lo and spring constant k is attached to the bead and to a support point a distance h from the wire. See Figure 1. Let z(t) denote the position of the bead on the wire at time t. (Note that x is measured...
A small bead of mass m is free to slide along a long, thin, frictionless rod,...
A small bead of mass m is free to slide along a long, thin, frictionless rod, which spins in a horizontal plane abut one end at a frequency of f (i.e., f revolutions per second). Show that the displacement of the bead from the center of rotation as a function of time t is given by r(t) = A exp(ct) + B exp(–Ct). Find the expression for the constant C. Also, how would you determine A and B?
A small bead of mass m can slide without friction on a circular hoop that is...
A small bead of mass m can slide without friction on a circular hoop that is in a vertical plane and has a radius R. The hoop rotates at a constant angular velocity ω about a vertical axis through the diameter of the hoop. Our goal is to find the angle β, as shown, such that the bead is in vertical equilibrium. We break the problem into several steps. a) Assume the bead is in vertical equilibrium and does not...
2. A bead of mass m is free to slide along a frictionless wire bent in the curve yx3 where a is a positive constant. The bead starts from rest at x - a and slides under the influence of a constant gravitational field g pointing in the negative y direction. Find the time required for the bead to reach the origin. Express your answer in terms of the constants a and g Hint: Use the energy method. You may...
4. A bead of mass m slides on a frictionless wire bent into the shape of a parabola 2 yd as shown above. Gravity acts in the negative y direction. A spring with elastic constant k and rest length d/2 connects the bead to a fixed anchor at the point (0, -d). Find the frequency of small oscillations about equilibrium. Hint: Find the potential energy Uof the bead. Then expand Uin series, keeping only the leading x2 term, to obtain...
A frictionless wire is bent into the shape of a cycloid curve,
with coordinates given by the parametric equations
? = ?(? + sin ?), ? = ?(1 − cos ?), for −? < ? < ?. The x
axis is horizontal, and y is vertically upwards. A bead of
mass m slides freely on the wire. Show that the distance s,
measured along the wire from the origin, is given by
? = 4? sin. Write out the potential...
1. A small bead is free to slide without friction on a rotating wire. The angular speed of the wire is w. In the coordinate system that rotates with the wire, there will be fictitious Coriolis and centrifugal forces, in addition to the real normal force the wire exerts on the bead. Working in this rotating coordinate system, (a) Draw the force diagram, including the fictitious forces. Write down the F=ma equations for the directions parallel and perpendicular to the...
A bead of mass m slides along a frictionless wire under the influence of gravity. The shape of the wire is given by the equation y = axa, where x denotes the horizontal co-ordinate, y denotes the vertical co-ordinate, and a is a constant. (a) Use Lagrange's equation to determine the equation of motion. (b) Compute Hamilton's equations of motion and show that they are equivalent to your result for item (a).
A small bead with a mass m = 15.0 g slides along the
frictionless wire form shown in the figure. The three heights
hA = 7.70 m, hB = 5.50 m,
and hC = 2.90 m are all measured from the
floor. The bead is released from rest at point A.
a) What is the speed of the bead at points B and C?
vB
= ____ m/s
vC
= ____ m/s
(b) What is the net work done on...
I
need to rescale (4) from the first page to the equation on the
second page.
2.[60pts.] A bead of mass m is constrained to slide along a straight rigid horizontal wire. A spring with natural length Lo and spring constant k is attached to the bead and to a support point a distance h from the wire. See Figure 1. Let z(t) denote the position of the bead on the wire at time t. (Note that x is measured...
Most questions answered within 3 hours.
-
Write a program to solve the Josephus problem, with the following
modification:
Sample Input:
./a.out n...
asked 2 hours ago -
At the start of a CD it is spinning at a rate of 525 rpm
(revolutions...
asked 2 hours ago -
4. Without doing any calculations, predict whether the observed
∆T would increase, decrease or remain the...
asked 3 hours ago -
Based on the range, which of the following sets of scores has
the greatest variability? 3,...
asked 5 hours ago -
Ripples in a pond travel at a velocity of 3 m/s with one peak
passing a...
asked 4 hours ago -
A man stands on the roof of a building of height 13.0 mm and
throws a...
asked 5 hours ago -
The extent to which assets are financed by borrowed funds and
other liabilities is indicated by:...
asked 6 hours ago -
Explain in detail
Germany is the fifth largest economy
explain what goods and services Germany specializes...
asked 6 hours ago -
The density of platinum is 21.45 g/mL. If a cube of platinum
with a mass of...
asked 6 hours ago -
Accounts Receivable
Sales
A/R Posting
Extended Sales Invoice
Packing Slip
Compare invoice to packing slip 2...
asked 6 hours ago -
Michaella, age 23, is a full-time law student and is claimed by
her parents as a...
asked 6 hours ago -
Why are polymers not typically casted into products?
asked 6 hours ago