A small ball of mass 1.0 kg is attached to one end of a 1.0 m long massless string and te other end of the string is hung from a point `O`. When the resulting pendulum is making `30^(@)C` from the vertical, what is the magnitude of net torque about the point of suspension? [Take `g=10m//s^(2)`]
Text Solution
AI Generated Solution
To find the magnitude of the net torque about the point of suspension when the pendulum is at an angle of \(30^\circ\) from the vertical, we can follow these steps:
### Step-by-Step Solution:
1. **Identify the Forces Acting on the Ball:**
- The ball has a mass \(m = 1.0 \, \text{kg}\).
- The weight of the ball \(F_g = mg = 1.0 \, \text{kg} \times 10 \, \text{m/s}^2 = 10 \, \text{N}\) acts downward.
...
Topper's Solved these Questions
ROTATIONAL MECHANICS
DC PANDEY ENGLISH|Exercise Solved Examples|25 Videos
ROTATIONAL MECHANICS
DC PANDEY ENGLISH|Exercise Miscellaneous Examples|2 Videos
ROTATION
DC PANDEY ENGLISH|Exercise (C) Chapter Exercises|39 Videos
ROTATIONAL MOTION
DC PANDEY ENGLISH|Exercise Integer Type Questions|17 Videos
Similar Questions
Explore conceptually related problems
A small ball of mass 1.0 kg is attached to one end of a 1.0 m long massless string and the other end of the string is hung from a point O . When the resulting pendulum is making 30^(@) from the vertical, what is the magnitude of net torque about the point of suspension? [Take g=10m//s^(2) ]
A heavy particle of mass 1kg suspended from a massless string attached to a roof. A horizontal force F is applied to the particle such that in the equilibrium position the string makes and angle 30^(@) with the vertical. The magnitude of the force F equals .
A 1 m long rope, having a mass of 40 g , is fixed at one end and is tied to a light string at the other end. The tension in the string in 400 N . Find the wavelength in second overtone (in cm ).
An object of mass 10kg is connected to the lower end of a massless string of length 4m hanging from the ceiling. If a force F is applied horizontally at the mid-point of the string, the top half of the string makes an angle of 45^(@) with the vertical , then the magnitude of F is
A small ball of mass 100 g is attached to a light and inextensible string of length 50 cm . The string is tied to a support O and the mass m released from point A which is a' a horizontal distance of 30cm from the support. Calculate the speed of the ball is its lowest point of the trajectory.
A pendulum consists of a small mass m at the end of a string of length L. The pendulum is pulled aside making an angle theta with the vertical and released. Taking the suspension point as the axis, at the instant of release
A ball of mass 'm' is suspended from a point with a massless string of length l in form of a pendulum. This ball is given a horizontal velocity sqrt(4 gl) at bottom most point. When string makes an angle 60^(@) from lower vertical, (a_(c))/(a_(t))=p . write the value of p^(2) . (g=10 m//s^(2))
A stone of mass 0.1 kg tied to one end of a string lm long is revolved in a horizontal circle at the rate of (10)/(pi)" rev/s" . Calculate the tension in the string.
A 1 kg stone at the end of 1 m long string is whirled in a vertical circle at constant speed of 4 m/sec. The tension in the string is 6 N when the stone is at (g =10m//sec^(2))
A ball of mass 1kg is attached to an inextensible string. The ball is released from the position shown in figure. Find the impulse imparted by the string to the ball immediately after the string becomes taut. (Take g=10m//s^2 )
DC PANDEY ENGLISH-ROTATIONAL MECHANICS-Subjective Questions
