What is the acceleration of a car with a hanging mass at an angle of 23 degrees?

In summary, the problem involves a 3.4 kg object hanging from a rope attached to a moving car. The rope makes a 23 degree angle with the vertical, and the car's acceleration is being asked for. The equation Σf = ma is relevant, as well as trigonometric functions such as sin, cos, and tan. To find the car's acceleration, the force of the hanging mass (31.36N) must be considered in a reference frame that is moving with the car. This will make the problem easier to solve.
  • #1
GovernorBob
1
0
The problem states that a 3.4 kg object hangs at one end of a rope that is attached to a support on a car. The car and cruisin' and is accelerating, when it does this, the rope makes an angle of 23 degrees with the vertical. Acceleration of gravity is 9.8 m/s/s and the question is asking for the car's acceleration. A rad diagram for your visual
15432303272_773355a70a_b.jpg

Equations
Σf= ma
Probably something with trig functions (sin, cos, tan)The first thing I did was multiply the mass 3.2 kg by gravity 9.2 m/s/s
That gave me a force of 31.36N, now, how do I use this to find the cars acceleration. I just don't see a correlation.
 
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  • #2
Welcome to PF GovernorBob.
Do you know what is pseudo force?
The problem will be easier to solve if you consider a reference frame which is moving with the car and visualize the motion of that hanging mass wrt to that frame.
 

FAQ: What is the acceleration of a car with a hanging mass at an angle of 23 degrees?

What is Newton's 2nd law of motion?

Newton's 2nd law of motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In simpler terms, the larger the force on an object, the more it will accelerate, and the more massive an object is, the less it will accelerate.

How is Newton's 2nd law used to solve problems?

To solve problems involving Newton's 2nd law, the equation F=ma is used, where F represents force, m represents mass, and a represents acceleration. By plugging in the known values and solving for the unknown, the problem can be solved.

Can Newton's 2nd law be applied to any situation?

Newton's 2nd law can be applied to any situation as long as the object is experiencing a net force. However, it is important to note that this law is only applicable in situations where the object is moving in a straight line at a constant acceleration.

How does Newton's 2nd law relate to the other laws of motion?

Newton's 2nd law is often referred to as the "law of acceleration" and is closely related to the other two laws of motion. The first law, also known as the law of inertia, states that an object will remain at rest or in motion at a constant velocity unless acted upon by an external force. The third law, also known as the law of action and reaction, states that for every action, there is an equal and opposite reaction. These laws work together to explain the behavior of objects in motion.

Are there any real-life applications of Newton's 2nd law?

Yes, Newton's 2nd law has many real-life applications. For example, it is used in engineering to design structures that can withstand certain forces, in sports to improve performance and technique, and in everyday situations such as driving a car or riding a bike. It is a fundamental law of physics that applies to almost all objects in motion.

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