### Explanation of Helper Springs in Truck SuspensionsTruck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by the distance \( y_0 \), the helper spring engages and then helps to support any additional load.#### Diagram DescriptionIn the diagram:- **Truck body**: The upper part of the figure (labeled in green) represents the body of the truck.- **Main leaf spring**: This is a primary suspension component mounted on the axle and attached to the truck body. It is shown in gold color.- **Helper spring**: This is a secondary spring, depicted in gray, which engages when the main leaf spring is compressed beyond a certain point.- **Axle**: The central horizontal component connecting the wheel to the springs.The distance \( y_0 \) (0.500 m) indicates the initial compression needed for the helper spring to engage.Suppose the leaf spring constant is \( 5.20 \times 10^5 \) N/m, and the helper spring constant is \( 3.70 \times 10^5 \) N/m. These constants determine the stiffness of the springs.#### Questions for Calculation(a) **What is the compression of the leaf spring for a load of \( 4.20 \times 10^5 \) N?** - Enter your answer in meters.(b) **How much work is done in compressing the springs?** - Enter your answer in joules.

Answered: Image /qna-images/answer/101d4753-e787-41f2-b4af-4a9b253b0204.jpg

Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance y g, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.20 x 105 N/m, the helper spring constant is 3.70 x 105 N/m, and y, = 0.500 m. Truck body "Helper" spring Main leaf spring Axle (a) What is the compression of the leaf spring for a load of 4.20 x 105 N? (b) How much work is done in compressing the springs?

Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance y g, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.20 x 105 N/m, the helper spring constant is 3.70 x 105 N/m, and y, = 0.500 m. Truck body "Helper" spring Main leaf spring Axle (a) What is the compression of the leaf spring for a load of 4.20 x 105 N? (b) How much work is done in compressing the springs?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A chain with length b and mass M is hang on ceiling under constant gravity g. Find the tension at point A when the distance between the ceiling and B is x for each casese. (1) The chain free falls. (2) Energy is conserved. A B CM T A B t=0 time t> 0 CM
You push a 2.00 kg block against a horizontal spring, compressing the spring by 15.0 cm. Then you release the block, and the spring sends it sliding across a frictionless tabletop for 30.0 cm. The block then moves up an 30.0°-incline plane and it moves up the incline for 65.0 cm before coming to rest. If the spring constant is 1000.0 N/m, determine the coefficient of kinetic friction between the block and the incline plane.
A block of mass 2.40 kg is placed against a horizontal spring of constant k = 885 N/m and pushed so the spring compresses by 0.0400 m. (a) What is the elastic potential energy of the block-spring system (in J)? J (b) If the block is now released and the surface is frictionless, calculate the block's speed (in m/s) after leaving the spring. m/s
1) A box of mass m= 50kg which is sliding on a horizontal rough surface and momentarily comes to stop after compressing the spring by a distance of 120 mm. The spring has a spring constant k = 20KN/m and is initially in its equilibrium state. The initial speed of the box is 3.0m/s. a) What is the work done by the spring as the box is brought to a stop? b) Write an expression for the work done by friction during the stopping of the box (in terms of the coefficient of kinetic friction). c) Determine the coefficient of friction between the box and the surface. v=3.0 ms 600 mm 600 mm 120 mm-
The fair is in town and one of the attractions is a bungee jump. They are trying to determine the safety restrictions to prevent an accident. The length of the cord is 6.3m. The maximum distance of the fall is H=31 m, and the spring constant is K=145N/m. Given this information, what is the largest mass of jumper this attraction can allow?
A block with a mass of 500g is pushed along a table to give It an initial speed of 3,00 m/s. It moves down the table and comes in contact with a spring, which it compresses the block then comes to a stop. The block moves a distance of 1.20 m between where the pushing force stops and where it is stopped by the spring. The has a spring constant of 150n/m. If the coefficient of kinetic friction between the block and table is 0.160 , how much is the spring compressed (in meters) when the block stops?
A block of mass 2.9 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 470 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 13°. a) The block, starting from rest, slides down the ramp a distance 54 cm before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest? b) After the block comes to rest, the spring pushes the block back up the ramp. How fast, in meters per second, is the block moving right after it comes off the spring? c) What is the change of the gravitational potential energy, in joules, between the original position of the block at the top of the ramp and the position of the block when the spring is fully compressed?
A block of mass 2.00 kg is placed against a horizontal spring of constant k = 765 N/m and pushed so the spring compresses by 0.0650 m. HINT (a) What is the elastic potential energy of the block-spring system (in J)? (b) If the block is now released and the surface is frictionless, calculate the block's speed (in m/s) after leaving the spring. m/s
A block of mass 0.240 kg is placed on top of a light, vertical spring of force constant 4 975 N/m and pushed downward so that the spring is compressed by 0.107 m. After the block is released from rest, it travels upward then leaves the spring. To what maximum height above the point of release does it rise? (Round your answer to two decimal places.) 4.0 ☑ m
You have a light spring which obeys Hooke's law. This spring stretches 2.56 cm vertically when a 3.00 kg object is suspended from it. Determine the following.\ (a) the force constant of the spring (in N/m) (b) the distance (in cm) the spring stretches if you replace the 3.00 kg object with a 1.50 kg object cm (c) the amount of work (in J) an external agent must do to stretch the spring 7.20 cm from its unstretched position
A 2.05 kg rock is dropped onto a spring from a height of 0.411 m. If the spring constant is 1951 N/m, what is the maximum compression of the spring?
In the reality television show "Amazing Race," a contestant is firing 12 kg watermelons from a slingshot to hit targets down the field. The slingshot is stretched from its equilibrium length by a distance of 1.8 m, and the watermelon is at ground level, 0.3 m below the launch point. The targets are at ground level 14 m horizontally away from the launch point. Calculate the spring constant of the slingshot (in N/m). (Assume the angle that the watermelon's velocity makes with the horizontal at the launch point is the same as the angle the slingshot makes with the horizontal when pulled back. Also assume the equilibrium length of the slingshot is negligible.)