363273
The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle \(\theta \) should be
1 \(0^\circ \)
2 \(30^\circ \)
3 \(45^\circ \)
4 \(60^\circ \)
Explanation:
Let \(T\) be the tension in the string. From the figure for the equilibrium of the system \(2T\cos \theta = \sqrt 2 mg\; \Rightarrow \,\cos \theta = \frac{1}{{\sqrt 2 }} \Rightarrow \theta = 45^\circ \)
PHXI05:LAWS OF MOTION
363274
Three concurrent co-planar forces 1 \(N\), 2 \(N\) and 3 \(N\) acting along different directions on a body
1 Can keep the body in equilibrium If 2 \(N\) and 3 \(N\) act at right angle
2 Can keep the body in equilibrium if \(1\,N\) and 3 \(N\) act at right angle
3 Can keep the body in equilibrium if \(1\,N\) and 3 \(N\) act at an acute angle
4 None of these
Explanation:
If \(1\,N\) and \(2\,N\) act in the same direction and \(3\,N\) acts in opposite direction, then equilibrium is possible. So correct option is (4).
PHXI05:LAWS OF MOTION
363275
An object is resting at the bottom of two strings which are inclined at an angle of \(120^\circ \) with each other. Each string can with stand a tension of 20 \(N\) . The maximum weight of the object that can be sustained without breaking the strings is
363273
The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle \(\theta \) should be
1 \(0^\circ \)
2 \(30^\circ \)
3 \(45^\circ \)
4 \(60^\circ \)
Explanation:
Let \(T\) be the tension in the string. From the figure for the equilibrium of the system \(2T\cos \theta = \sqrt 2 mg\; \Rightarrow \,\cos \theta = \frac{1}{{\sqrt 2 }} \Rightarrow \theta = 45^\circ \)
PHXI05:LAWS OF MOTION
363274
Three concurrent co-planar forces 1 \(N\), 2 \(N\) and 3 \(N\) acting along different directions on a body
1 Can keep the body in equilibrium If 2 \(N\) and 3 \(N\) act at right angle
2 Can keep the body in equilibrium if \(1\,N\) and 3 \(N\) act at right angle
3 Can keep the body in equilibrium if \(1\,N\) and 3 \(N\) act at an acute angle
4 None of these
Explanation:
If \(1\,N\) and \(2\,N\) act in the same direction and \(3\,N\) acts in opposite direction, then equilibrium is possible. So correct option is (4).
PHXI05:LAWS OF MOTION
363275
An object is resting at the bottom of two strings which are inclined at an angle of \(120^\circ \) with each other. Each string can with stand a tension of 20 \(N\) . The maximum weight of the object that can be sustained without breaking the strings is
363273
The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle \(\theta \) should be
1 \(0^\circ \)
2 \(30^\circ \)
3 \(45^\circ \)
4 \(60^\circ \)
Explanation:
Let \(T\) be the tension in the string. From the figure for the equilibrium of the system \(2T\cos \theta = \sqrt 2 mg\; \Rightarrow \,\cos \theta = \frac{1}{{\sqrt 2 }} \Rightarrow \theta = 45^\circ \)
PHXI05:LAWS OF MOTION
363274
Three concurrent co-planar forces 1 \(N\), 2 \(N\) and 3 \(N\) acting along different directions on a body
1 Can keep the body in equilibrium If 2 \(N\) and 3 \(N\) act at right angle
2 Can keep the body in equilibrium if \(1\,N\) and 3 \(N\) act at right angle
3 Can keep the body in equilibrium if \(1\,N\) and 3 \(N\) act at an acute angle
4 None of these
Explanation:
If \(1\,N\) and \(2\,N\) act in the same direction and \(3\,N\) acts in opposite direction, then equilibrium is possible. So correct option is (4).
PHXI05:LAWS OF MOTION
363275
An object is resting at the bottom of two strings which are inclined at an angle of \(120^\circ \) with each other. Each string can with stand a tension of 20 \(N\) . The maximum weight of the object that can be sustained without breaking the strings is
363273
The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle \(\theta \) should be
1 \(0^\circ \)
2 \(30^\circ \)
3 \(45^\circ \)
4 \(60^\circ \)
Explanation:
Let \(T\) be the tension in the string. From the figure for the equilibrium of the system \(2T\cos \theta = \sqrt 2 mg\; \Rightarrow \,\cos \theta = \frac{1}{{\sqrt 2 }} \Rightarrow \theta = 45^\circ \)
PHXI05:LAWS OF MOTION
363274
Three concurrent co-planar forces 1 \(N\), 2 \(N\) and 3 \(N\) acting along different directions on a body
1 Can keep the body in equilibrium If 2 \(N\) and 3 \(N\) act at right angle
2 Can keep the body in equilibrium if \(1\,N\) and 3 \(N\) act at right angle
3 Can keep the body in equilibrium if \(1\,N\) and 3 \(N\) act at an acute angle
4 None of these
Explanation:
If \(1\,N\) and \(2\,N\) act in the same direction and \(3\,N\) acts in opposite direction, then equilibrium is possible. So correct option is (4).
PHXI05:LAWS OF MOTION
363275
An object is resting at the bottom of two strings which are inclined at an angle of \(120^\circ \) with each other. Each string can with stand a tension of 20 \(N\) . The maximum weight of the object that can be sustained without breaking the strings is
