篇一:《外球面轴承及轴承座轴承规格、性能、型号对照参数表》
带顶丝外球面轴承UC200系列 轴承规格、性能、型号对照参数表
带顶丝外球面轴承UC300系列轴承规格、性能、型号对照参数表
带顶丝球轴承SB200系列 轴承规格、性能、型号对照参数表
带偏心套球轴承SA200系列轴承规格、性能、型号对照参数表
带圆锥孔外球面球轴承UK200系列 轴承规格、性能、型号对照参数表{uc订阅号,10-13,00:31}.{uc订阅号,10-13,00:31}.
立式座UCP200系列轴承规格、性能、型号对照参数表
篇二:《CP7e Ch 13 Problems - UC San Diego - Department of …》
Chapter 13 Problems
1, 2, 3 = straightforward, intermediate,
Student = co ached solution with hints available at = biomedical application
Section 13.1 Hooke’s Law 1. A 0.40-kg object is attached to a spring with force constant 160 N/m so that the object is allowed to move on a
horizontal frictionless surface. The object is released from rest when the spring is
compressed 0.15 m. Find (a) the force on the object and (b) its acceleration at that instant. 2. A load of 50 N attached to a spring hanging vertically stretches the spring 5.0 cm. The spring is now placed horizontally on a table and stretched 11 cm. (a) What force is required to stretch the spring by that amount? (b) Plot a graph of force (on the y-axis) versus spring displacement from the equilibrium position along the x-axis.
A ball dropped from makes a perfectly elastic collision with the ground. Assuming that no mechanical energy is lost due to air resistance, (a) show that the motion is
periodic and (b) determine the period of the motion. (c) Is the motion simple harmonic? Explain.
4. A small ball is set in horizontal
motion by rolling it with a speed of 3.00 m/s across a room 12.0 m long between two
walls. Assume that the collisions made with each wall are perfectly elastic and that the motion is perpendicular to the two walls. (a) Show that the motion is periodic and determine its period. (b) Is the motion simple harmonic? Explain. 5. A spring is hung from a ceiling, and an object attached to its lower end stretches the spring by a distance of 5.00 cm from its unstretched position when the system is in equilibrium. If the spring constant is 47.5 N/m, determine the mass of the object. 6. An archer must exert a force of 375 N on the bowstring shown in Figure P13.6a (page 452) such that the string makes an angle of θ = 35.0° with the vertical. (a)
Determine the tension in the bowstring. (b) If the applied force is replaced by a
stretched spring as in Figure P13.6b, and the spring is stretched 30.0 cm from its unstretched length, what is the spring constant?{uc订阅号,10-13,00:31}.{uc订阅号,10-13,00:31}.
Figure P13.6
Section 13.2 Elastic Potential Energy
A slingshot consists of a light leather stone. The cup is pulled back against two parallel rubber bands. It takes a force of 15 N to stretch either one of these bands 1.0 cm. (a) What is the potential energy stored in the two bands together when a 50-g stone is placed in the cup and pulled back 0.20 m from the equilibrium
position? (b) With what speed does the stone leave the slingshot? 8. An archer pulls her bowstring back
0.400 m by exerting a force that increases uniformly from zero to 230 N. (a) What is the equivalent spring constant of the bow? (b) How much work is done in pulling the bow? 9. A child’s toy consists of a piece of plastic attached to a spring (Fig. P13.9). The spring is compressed against the floor a distance of 2.00 cm, and the toy is released. If the toy has a mass of 100 g and rises to a maximum height of 60.0 cm, estimate the force constant of the spring.
Figure P13.9
10. An automobile having a mass of 1 000 kg is driven into a brick wall in a safety test. The bumper behaves like a spring with constant 5.00 × 106 N/m and is compressed 3.16 cm as the car is brought to rest. What was the speed of the car before impact, assuming that no energy is lost in the collision with the wall? 11. A simple harmonic oscillator has a total energy E. (a) Determine the kinetic
and potential energies when the
displacement is one-half the amplitude. (b) For what value of the displacement does the kinetic energy equal the potential energy? 12. A 1.50-kg block at rest on a tabletop is attached to a horizontal spring having constant 19.6 N/m, as in Figure P13.12. The spring is initially unstretched. A constant 20.0-N horizontal force is applied to the object, causing the spring to stretch. (a)
Determine the speed of the block after it has moved 0.300 m from equilibrium if the surface between the block and tabletop is frictionless. (b) Answer part (a) if the{uc订阅号,10-13,00:31}.
coefficient of kinetic friction between block and tabletop is 0.200.
Figure P13.12{uc订阅号,10-13,00:31}.
13. A 10.0-g bullet is fired into, and
embeds itself in, a 2.00-kg block attached to a spring with a force constant of 19.6 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block and the block slides on a frictionless surface? [Note: You must use conservation of momentum in this problem. Why?] 14. A 1.5-kg block is attached to a spring with a spring constant of 2 000 N/m. The spring is then stretched a distance of 0.30
cm and the block is released from rest. (a) Calculate the speed of the block as it passes through the equilibrium position if no
friction is present. (b) Calculate the speed of the block as it passes through the
equilibrium position if a constant frictional force of 2.0 N retards its motion. (c) What would be the strength of the frictional force if the block reached the equilibrium
position the first time with zero velocity?
Section 13.3 Comparing Simple Harmonic Motion with Uniform Circular Motion Section 13.4 Position, Velocity, and Acceleration as a Function of Time 15. A 0.40-kg object connected to a light spring with a force constant of 19.6 N/m
oscillates on a frictionless horizontal surface. If the spring is compressed 4.0 cm and released from rest, determine (a) the
maximum speed of the object, (b) the speed of the object when the spring is compressed 1.5 cm, and (c) the speed of the object when the spring is stretched 1.5 cm. (d) For what value of x does the speed equal one-half the maximum speed? 16. An object–spring system oscillates with an amplitude of 3.5 cm. If the spring constant is 250 N/m and the object has a mass of 0.50 kg, determine (a) the
mechanical energy of the system, (b) the maximum speed of the object, and (c) the maximum acceleration of the object.
At an outdoor market, a bunch of motion with an amplitude of 20.0 cm on a spring with a
force constant of 16.0 N/m. It is observed that the maximum speed of the bunch of bananas is 40.0 cm/s. What is the weight of the bananas in newtons? 18. A 50.0-g object is attached to a horizontal spring with a force constant of 10.0 N/m and released from rest with an amplitude of 25.0 cm. What is the velocity of the object when it is halfway to the equilibrium position if the surface is frictionless? 19. While riding behind a car traveling at 3.00 m/s, you notice that one of the car’s tires has a small hemispherical bump on its rim, as in Figure P13.19. (a) Explain why the bump, from your viewpoint behind the car, executes simple harmonic motion. (b) If the radius of the car’s tires is 0.30 m, what is the bump’s period of oscillation?
Figure P13.19
20. An object moves uniformly around a circular path of radius 20.0 cm, making one complete revolution every 2.00 s. What are (a) the translational speed of the object, (b) the frequency of motion in hertz, and (c) the angular speed of the object? 21. Consider the simplified single-piston engine in Figure P13.21. If the wheel rotates at a constant angular speed ω, explain why the piston rod oscillates in simple harmonic motion.
Figure P13.21
22. The frequency of vibration of an object–spring system is 5.00 Hz when a 4.00-g mass is attached to the spring. What is the force constant of the spring?
A spring stretches 3.9 cm when a 10-g object is hung from it. The object is replaced with a block of mass 25 g that oscillates in simple harmonic motion. Calculate the period of motion. 24. When four people with a combined mass of 320 kg sit down in a car, they find that the car drops 0.80 cm lower on its springs. Then they get out of the car and bounce it up and down. What is the
frequency of the car’s vibration if its mass (when it is empty) is 2.0 × 103 kg? 25. A cart of mass 250 g is placed on a frictionless horizontal air track. A spring having a spring constant of 9.5 N/m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 12 cm from the left end of the track. If the cart is displaced 4.5 cm from its equilibrium position, find (a) the period at which it oscillates, (b) its maximum speed, and (c) its speed when it is 14 cm from the left end of the track. 26. The motion of an object is described by the equation
x??0.30 m?cos???t?
?3??
Find (a) the position of the object at t = 0 and t = 0.60 s, (b) the amplitude of the
motion, (c) the frequency of the motion, and (d) the period of the motion. 27. A 2.00-kg object on a frictionless horizontal track is attached to the end of a horizontal spring whose force constant is 5.00 N/m. The object is displaced 3.00 m to the right from its equilibrium position and then released, initiating simple harmonic motion. (a) What is the force (magnitude and direction) acting on the object 3.50 s after it is released? (b) How many times does the object oscillate in 3.50 s? 28. A spring of negligible mass stretches 3.00 cm from its relaxed length when a
force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is pulled horizontally so that it stretches the spring 5.00 cm and is then released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency ω, the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (e) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s.
Given that x = A cos function of time, show that v (velocity) and a (acceleration) are also sinusoidal functions of time. [Hint: Use Equations 13.6 and 13.2.]
Section 13.5 Motion of a Pendulum 30. A man enters a tall tower, needing to know its height. He notes that a long
pendulum extends from the ceiling almost to the floor and that its period is 15.5 s. (a) How tall is the tower? (b) If this pendulum is taken to the Moon, where the free-fall acceleration is 1.67 m/s2, what is the period there? 31. A simple 2.00-m-long pendulum oscillates at a location where g = 9.80 m/s2. How many complete oscillations does it make in 5.00 min?