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 y0, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.20  105 N/m, the helper spring constant is 3.60  105 N/m, and y0 = 0.500 m.   (a) What is the compression of the leaf spring for a load of 4.50  105 N?  m (b) How much work is done in compressing the springs?  J

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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 y0, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.20  105 N/m, the helper spring constant is 3.60  105 N/m, and y0 = 0.500 m.

 
(a) What is the compression of the leaf spring for a load of 4.50  105 N?
 m

(b) How much work is done in compressing the springs?
 J
The image depicts the suspension system of a truck, focusing on the interaction between the truck body, the shock absorber, and the axle. Here's a detailed explanation:

**Diagram Explanation:**

1. **Truck Body**:
   - The truck body is shown at the top of the diagram in red. It represents the main structure of the truck that is supported by the suspension system.

2. **Shock Absorber**:
   - Situated below the truck body, the shock absorber is labeled with "v0," indicating downward motion or force. Its purpose is to dampen the vibrations and shocks from the road, ensuring a smooth ride.

3. **Axle**:
   - Located beneath the shock absorber, the axle connects the wheels to the body of the truck. It plays a crucial role in supporting both the vehicle load and the dynamic forces while driving.

4. **Leaf Spring**:
   - The leaf spring is illustrated in blue, arching underneath the axle. It acts as a flexible link between the axle and the truck body, allowing the movement necessary to absorb shocks.

This suspension system is crucial for maintaining vehicle stability, comfort, and safety by absorbing and dissipating energy from road irregularities.
Transcribed Image Text:The image depicts the suspension system of a truck, focusing on the interaction between the truck body, the shock absorber, and the axle. Here's a detailed explanation: **Diagram Explanation:** 1. **Truck Body**: - The truck body is shown at the top of the diagram in red. It represents the main structure of the truck that is supported by the suspension system. 2. **Shock Absorber**: - Situated below the truck body, the shock absorber is labeled with "v0," indicating downward motion or force. Its purpose is to dampen the vibrations and shocks from the road, ensuring a smooth ride. 3. **Axle**: - Located beneath the shock absorber, the axle connects the wheels to the body of the truck. It plays a crucial role in supporting both the vehicle load and the dynamic forces while driving. 4. **Leaf Spring**: - The leaf spring is illustrated in blue, arching underneath the axle. It acts as a flexible link between the axle and the truck body, allowing the movement necessary to absorb shocks. This suspension system is crucial for maintaining vehicle stability, comfort, and safety by absorbing and dissipating energy from road irregularities.
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