Show that, in general, a wrench can be replaced with two forces chosen in such a way that one force passes through a given point while the other force lies in a given plane.
Q: x Initially h is 268mm, Mass = 11 kg, k= 242 N/m and has unstretched length= 135 mm. Find the…
A:
Q: (a) For a constant force, describe the orientation between the force vector and the displacement…
A: (a) Work done by constant force = Fdcosθ , where F is force and d is displacement and θ is angle…
Q: A block of 1:6 kg mass is on a plane inclined to 50 for which the kinetic friction coecient is c =…
A:
Q: When the ring is right in the center, why must the sum of the forces on the ring add up to zero?
A: When the ring is centered then the only forces acting on it are the tensions. These are concurrent…
Q: Given below is a diagram of a conical pendulum which is used by a student and its procedure is shown…
A:
Q: A ball is launched at an angle of 45° from a cliff above level ground below. When it is released, it…
A:
Q: A particle of mass 0.1kg moves in a circular path on a horizontal frictionless plane, attached…
A: Given data: Mass of particle (m) = 0.1 kg Maximum tension force (T) = 1N Radius of circular path…
Q: The constant tensions of 200 N and 160 N are ap- plied to the hoisting cable as shown. If the…
A: Given: Initial velocity v1=-2 m/s taking negative sign for downward direction. final velocity v2=v…
Q: a) A pivot is placed under the beam at x = 5. Calculate the total torque around the pivot and state…
A: Given, |F1| = 45N |F2| = 40 N θ1 = 400 θ2 = 250 length of beam L = 12m pivot is at x = 5
Q: (a) Calculate the force (in N) the woman in the figure below exerts to do a push-up at constant…
A:
Q: A thin rod of mass m and length L is released from rest from a nearly upright position, let’s say θ…
A:
Q: In the baggage claim area of an airport, a particular baggage carousel is shaped like a section of a…
A:
Q: The figure shows a conical pendulum, in which the bob (the small object at the lower end of the…
A:
Q: A uniform circular disc of mass m = 5 kg and radius R=0.3 m may rotate about its fixed center of…
A: Answer: aA = i 293.2 - j 6.7 Where i and j are unit vectors along x and y axes respectively.
Q: A spring with spring constant k and equilibrium length zero is attached to the top of a frictionless…
A:
Q: Provide a written answer
A:
Show that, in general, a wrench can be replaced with two forces chosen in such a way that one force passes through a given point while the other force lies in a given plane.
Step by step
Solved in 3 steps with 8 images
- To make butter in the old days you would need to spin a handle that was attached to a mixer around in a circle. How much power is generated in 1 hour is a 75N force is applied and the handle has a radius of 60cm?During steady motion of a vehicle on a level road, the power delivered to thewheels is used to overcome aerodynamic drag and rolling resistance (the product of the rollingresistance coefficient and the weight of the vehicle), assuming that the friction at the bearingsof the wheels is negligible. Consider a car that has a total mass of 950 kg, a drag coefficient of0.32, a frontal area of 1.8 m2, and a rolling resistance coefficient of 0.04. The maximum powerthe engine can deliver to the wheels is 80 kW. Use the air density of 1.20 kg/m3.a. Determine the speed at which the rolling resistance is equal to the aerodynamic drag force.b. Determine the maximum speed of this car.Show that y'(x) = 0 only at x = 0, and thus that it fol- lows (why?) that the maximum deflection of the cantilever is ymax = y(L) = wL^/(8EI).
- Consider a ball rolling around in a circular path on the inner surface of a cone. The weight of the ball is shown by the vector W. Without friction, only one other force acts on the ball-a normal force, (a) Draw in the vector for the normal force. (The length of the vector depends on the next step, b.) (b) Using the parallelogram rule, show that the resultant of the two vectors is along the radial direction of the ball's circular path. (Yes, the normal is appreciably larger than the weight!)Mass blocks m1=3.40 kg and m2=8.50 kg are initially tied by a light string with a compressed spring in between. They sit on a smooth horizontal plane, After the string is cut, block m2 moves at 2 m/s to the right. (a)What is the potential energy stored in the spring before the string is cut? Answer: (b)How much does the center-of-mass of the two block system move in 4.30s counting from the moment the tie is cut? Answer: m. 2.00 m/s m2 m2 m1 m1 Before AfterThe apparatus below is a massless wheel of radius that is mounted to a frictionless axle. A small, dense piece of clay with mass is glued to edge of the wheel as shown. Another mass hangs from a massless string that is wrapped around the wheel. We can assume the string is inextensible and does not slip, and the system is in a uniform gravitational field. In terms of the rotation angle of the wheel, write down the total potential energy of the system of both masses. Take note of any constraints that you use to write this as a 1D problem.
- a solid cylinder of mass m and radius r rolling down the ramp of height h. (A) what is the moment of inertia of the cylinder when it rolls down? (B) prove the center mass speed Vcm when it reaches the ground is [(4/3)gh]1/2(a) Explain what a principal axis system for a rigid body is. (b) Write down the definition of the moment of inertia of a rigid body with respect to a fixed axis ñ. (c) If the principal moments of inertia of a rigid body are all equal, I₁ = I₂ = I3, does that imply that the mass-distribution p(x) in the rigid body is spherically symmetric? Give a short explanation. (d) State what a normal mode is.