Two identical springs of spring constant k are attached to a block ofmass m and to fixed supports as shown in the figure. The time period ofoscillation is
Question
Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in the figure. The time period of oscillation is
Solution
The time period of oscillation for a spring-mass system is given by the formula T = 2π√(m/k).
However, in this case, we have two springs attached to the block. When two springs are attached in parallel like this, their spring constants add up. So, the effective spring constant (k_eff) for this system is 2k.
Substituting this into the formula, we get T = 2π√(m/2k).
So, the time period of oscillation for this system is T = 2π√(m/2k).
Similar Questions
A rod of length l,𝑙, mass m are connected to two springs of spring constant K𝐾 each. Find the frequency of small oscillation
0 2 . 4 Write down the equation that links extension, force and spring constant.
Write the differential equation describingthe SHM of mass m attached to a spring offorce constant k.
A spring is stretched 6cm when a mass of 200g is hung on it. Calculate the spring constant.
A spring system execute SHM if a load is added to it, then period of mass spring system will be: A. increase B. decrease C. Remains the same D. None of these
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.